Unit 2 - Practice Quiz

MEC107 60 Questions
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1 Friction is a force that always acts in the direction ____ to the intended or actual motion.

Introduction to friction Easy
A. Perpendicular
B. Opposite
C. Parallel
D. At a 45-degree angle

2 Friction occurs due to the ____ of the surfaces in contact.

Introduction to friction Easy
A. Roughness
B. Color
C. Temperature
D. Smoothness

3 Which of the following is NOT a type of solid friction?

Types of friction Easy
A. Fluid friction
B. Rolling friction
C. Sliding friction
D. Dry friction

4 Friction experienced by a body when it slides over another body is known as:

Types of friction Easy
A. Sliding friction
B. Rolling friction
C. Static friction
D. Fluid friction

5 The maximum value of static friction before motion begins is called:

Limiting friction Easy
A. Rolling friction
B. Kinetic friction
C. Dynamic friction
D. Limiting friction

6 If the applied force is less than the limiting friction, the body will:

Limiting friction Easy
A. Move backwards
B. Move with constant velocity
C. Remain at rest
D. Accelerate

7 The angle between the normal reaction and the resultant of normal reaction and limiting friction is called the:

Angle of friction Easy
A. Angle of incidence
B. Angle of friction
C. Angle of projection
D. Angle of repose

8 The tangent of the angle of friction is equal to:

Angle of friction Easy
A. Coefficient of friction
B. Normal reaction
C. Weight of the body
D. Applied force

9 According to the laws of dry friction, the frictional force is directly proportional to the:

Laws of Friction Easy
A. Velocity of the body
B. Volume of the body
C. Normal reaction
D. Area of contact

10 Does the coefficient of friction depend on the apparent area of contact?

Laws of Friction Easy
A. It depends only for rough surfaces
B. No, it is independent of the area of contact
C. Yes, it increases with area
D. Yes, it decreases with area

11 Which of the following best describes the coefficient of friction?

Laws of Friction Easy
A. It has units of Newtons
B. It has units of
C. It is a dimensionless quantity
D. It is measured in Joules

12 Which friction is generally greater?

Static and Dynamic friction Easy
A. Dynamic friction
B. Static friction
C. They are always equal
D. Fluid friction

13 Dynamic friction is also known as:

Static and Dynamic friction Easy
A. Impending friction
B. Limiting friction
C. Kinetic friction
D. Static friction

14 The friction that exists when a body is at rest but on the verge of moving is:

Static and Dynamic friction Easy
A. Limiting static friction
B. Rolling friction
C. Kinetic friction
D. Dynamic friction

15 When a block rests on a horizontal surface, the normal reaction is equal to:

Motion of bodies Easy
A. The frictional force
B. The weight of the block
C. Zero
D. The applied horizontal force

16 If a body is moving on a rough horizontal surface with a constant velocity, the applied force is equal to:

Motion of bodies Easy
A. The dynamic frictional force
B. The weight of the body
C. The normal reaction
D. Zero

17 The maximum angle of an inclined plane at which a body remains in equilibrium just by friction is called:

Motion of bodies Easy
A. Angle of friction
B. Angle of slope
C. Angle of repose
D. Angle of elevation

18 The angle of repose is always equal to the:

Angle of friction Easy
A. Angle of projection
B. Normal reaction
C. Angle of friction
D. Coefficient of kinetic friction

19 Friction is considered a 'necessary evil' because:

Introduction to friction Easy
A. It causes wear and tear but is essential for walking
B. It produces light
C. It increases the speed of machines
D. It only wastes energy

20 Which of the following generally has the lowest coefficient of friction?

Types of friction Easy
A. Sliding friction
B. Limiting friction
C. Static friction
D. Rolling friction

21 A block of mass is placed on a rough inclined plane. If the angle of inclination is gradually increased, the block just begins to slide when . What is the coefficient of static friction between the block and the plane?

Angle of friction Medium
A.
B.
C.
D.

22 A block is at rest on a horizontal surface. The coefficient of static friction is $0.4$. If a horizontal force of is applied to the block, what is the magnitude of the frictional force acting on it? (Take )

Limiting friction Medium
A.
B.
C.
D.

23 A block is pressed against a vertical wall by a horizontal force . If the weight of the block is and the coefficient of static friction between the wall and the block is , what is the minimum value of required to prevent the block from falling?

Motion of bodies Medium
A.
B.
C.
D.

24 According to the laws of dry friction (Coulomb friction), which of the following statements is true for a block sliding on a surface?

Laws of Friction Medium
A. The friction force is independent of the normal reaction.
B. The kinetic friction force is relatively independent of the sliding velocity.
C. The friction force is directly proportional to the apparent area of contact.
D. Static friction is always less than kinetic friction.

25 The angle of friction is defined as the angle between:

Angle of friction Medium
A. The resultant of normal reaction and limiting friction, and the normal reaction.
B. The resultant of normal reaction and limiting friction, and the surface.
C. The normal reaction and the frictional force.
D. The applied force and the normal reaction.

26 Why is it generally easier to pull a lawn mower at an angle to the horizontal than to push it at the same angle?

Motion of bodies Medium
A. Pulling decreases the mass of the lawn mower.
B. Pulling increases the coefficient of friction.
C. Pulling decreases the normal reaction, thereby reducing friction.
D. Pushing creates an upward component of force, increasing friction.

27 A body is sliding on a rough horizontal surface with an initial velocity . If the coefficient of kinetic friction is , the distance traveled by the body before coming to rest is:

Static and Dynamic friction Medium
A.
B.
C.
D.

28 A block weighing rests on a horizontal plane. A force of applied at an angle of upward from the horizontal just moves the block. What is the approximate coefficient of limiting friction?

Limiting friction Medium
A. $0.58$
B. $0.50$
C. $0.43$
D. $0.35$

29 Which of the following types of friction generally has the lowest magnitude for a given normal load?

Types of friction Medium
A. Rolling friction
B. Limiting static friction
C. Sliding kinetic friction
D. Dry friction

30 At the microscopic level, what is the primary cause of dry friction between two solid metallic surfaces?

Introduction to friction Medium
A. Interlocking of surface irregularities and cold welding of asperities.
B. Air resistance trapped between the surfaces.
C. Magnetic repulsion between the surfaces.
D. Gravitational attraction between the atoms of the two surfaces.

31 A block of mass slides down a rough incline of angle with constant velocity. What is the coefficient of kinetic friction ?

Motion of bodies Medium
A.
B.
C.
D.

32 What is the 'cone of friction' in engineering mechanics?

Angle of friction Medium
A. The angle at which an inclined plane must be set for a cylinder to roll.
B. The geometric shape of asperities on a rough surface.
C. A physical conical object used to measure friction.
D. The cone generated by revolving the resultant reaction around the normal at the point of contact, with a semi-vertical angle equal to the angle of friction.

33 A force is applied to a block to keep it moving at a constant speed across a rough surface. If the mass of the block is doubled while the nature of the surfaces remains the same, what new force is required to maintain constant speed?

Static and Dynamic friction Medium
A.
B.
C.
D.

34 Which of the following scenarios violates the standard laws of Coulomb (dry) friction?

Laws of Friction Medium
A. Frictional resistance increases significantly when the contact area is doubled, keeping normal force constant.
B. The maximum static friction is slightly higher than the kinetic friction.
C. Friction always acts in the direction opposite to impending or actual relative motion.
D. Friction force doubles when the normal force is doubled.

35 A block of mass rests on a rough horizontal surface. A gradually increasing horizontal force is applied. The body will just start moving when reaches . The region where is characterized by:

Limiting friction Medium
A. Kinetic friction being greater than static friction.
B. The resultant force acting downward.
C. Static friction being self-adjusting and exactly equal to .
D. Static friction being equal to the limiting friction .

36 A block of mass is pulled up a rough inclined plane of angle by a force parallel to the plane. If the block moves with acceleration and the coefficient of kinetic friction is , the equation of motion is:

Motion of bodies Medium
A.
B.
C.
D.

37 Fluid friction (viscous drag) differs from solid dry friction in that fluid friction:

Types of friction Medium
A. Highly depends on the relative velocity of the fluid layers.
B. Follows exactly the same Coulomb laws as dry friction.
C. Is always greater than dry static friction.
D. Is independent of the relative velocity between layers.

38 If the angle of repose for a given surface is , what is the coefficient of static friction?

Angle of friction Medium
A. $1.414$
B. $0.5$
C. $0.707$
D. $1.0$

39 A block rests on a horizontal floor. The coefficient of static friction is $0.3$ and kinetic friction is $0.2$. A horizontal force of is applied. What is the frictional force acting on the block?

Motion of bodies Medium
A.
B.
C.
D.

40 When a solid cylindrical block is kept on a rough horizontal surface, and a horizontal force is applied at its center of mass, the direction of the frictional force exerted by the surface on the block is:

Laws of Friction Medium
A. Zero, because friction only acts on inclined planes.
B. Opposite to the direction of the applied force.
C. In the direction of the applied force.
D. Perpendicular to the applied force.

41 A block of weight rests on a rough inclined plane of inclination . If the angle of friction is and , the minimum horizontal force required to keep the block in equilibrium (preventing it from sliding down) is given by:

Angle of friction Hard
A.
B.
C.
D.

42 Two blocks and of weights and are connected by a string passing over a rough pulley with a coefficient of friction . If block is on the verge of moving downwards, the ratio of tensions is given by:

Motion of bodies Hard
A.
B.
C.
D.

43 A body is sliding down an inclined plane with a constant velocity. If the plane is inclined at an angle to the horizontal, what can be deduced about the coefficients of static friction () and kinetic friction ()?

Static and Dynamic friction Hard
A. and
B. and
C. and
D. and

44 A solid cylinder of mass and radius is placed on a rough horizontal surface and pulled by a horizontal force applied at its top edge. What is the minimum coefficient of static friction required for pure rolling?

Motion of bodies Hard
A.
B.
C.
D.

45 A block is placed on an inclined plane. The angle of the plane is gradually increased until the block just begins to slide. At this angle , a horizontal force is applied to push the block up the plane. The magnitude of required to initiate upward motion is:

Angle of friction Hard
A.
B.
C.
D.

46 A block of weight rests on a horizontal floor. A force is applied at an angle above the horizontal. To move the block with the minimum possible force , the angle should be:

Limiting friction Hard
A. Equal to
B. Equal to
C. Equal to the angle of friction
D. Zero

47 A ladder of length and weight rests against a rough vertical wall and a rough horizontal floor. The coefficients of friction at the wall and floor are and respectively. If the ladder is on the verge of slipping, the angle it makes with the horizontal is given by:

Motion of bodies Hard
A.
B.
C.
D.

48 Which of the following statements about rolling friction is fundamentally accurate in the context of deformable bodies?

Types of friction Hard
A. It is due to the hysteresis loss in the deformation of the contacting surfaces.
B. It is directly proportional to the relative sliding velocity between surfaces.
C. It does not exist if both surfaces are perfectly smooth.
D. It arises primarily from the microscopic adhesion at the contact points.

49 According to Coulomb's laws of dry friction, how does the limiting friction depend on the macroscopic area of contact and the sliding velocity, assuming standard engineering approximations?

Laws of Friction Hard
A. Independent of both area of contact and sliding velocity.
B. Dependent on area of contact but independent of sliding velocity.
C. Independent of area of contact but dependent on sliding velocity.
D. Dependent on both area of contact and sliding velocity.

50 Two rough blocks and , of masses and , are stacked on a smooth horizontal table. A horizontal force is applied to block (the bottom block). The coefficient of static friction between the blocks is . What is the maximum force that can be applied such that block does not slide relative to ?

Limiting friction Hard
A.
B.
C.
D.

51 A wedge of angle is forced under a heavy block of weight resting on a horizontal floor. The coefficient of friction is for all surfaces, and the angle of friction is . The horizontal force required to drive the wedge is:

Angle of friction Hard
A.
B.
C.
D.

52 A block slides down a rough curved track. As it descends, its speed increases, but the normal force changes continuously. If the track is a quarter circle of radius and the block starts from rest at the top, the differential equation governing its speed as a function of the angle from the vertical incorporates kinetic friction. The normal force at any angle is:

Static and Dynamic friction Hard
A.
B.
C.
D.

53 A homogeneous cylinder rests on a V-block with angle . If the coefficient of static friction between the cylinder and the V-block is , the torque required to cause the cylinder to rotate in place is:

Motion of bodies Hard
A.
B.
C.
D.

54 In the analysis of dry friction on a microscopic scale, the actual area of contact () is related to the apparent area of contact () and the normal load (). Which relationship best describes for metallic surfaces under plastic deformation asperities?

Introduction to friction Hard
A. , where is the hardness of the softer material
B.
C.
D.

55 A block of mass is given an initial velocity up a rough inclined plane of angle . The coefficient of kinetic friction is . The ratio of the time taken to travel up the plane to the time taken to return to the starting point is:

Static and Dynamic friction Hard
A.
B.
C.
D.

56 A uniform rod of length and weight is supported by two pegs at distances and from the center of mass, on opposite sides. If the coefficient of friction is at both pegs, what is the maximum horizontal force applied at the center of mass along the rod before slipping occurs?

Limiting friction Hard
A.
B.
C.
D.

57 In Coulomb's theory, the frictional force vector during sliding is given by . If a block moves on a plane where a constant lateral force is applied perpendicular to its initial velocity, the path of the block becomes curved. The direction of the friction force:

Laws of Friction Hard
A. Remains strictly opposite to the initial velocity vector.
B. Is independent of the instantaneous velocity and opposes the net applied force.
C. Always points towards the center of curvature of the path.
D. Continuously adjusts to be exactly antiparallel to the instantaneous velocity vector.

58 For a block resting on a horizontal surface, a force is applied at an angle downwards from the horizontal. If is the angle of friction, the block cannot be made to slide, regardless of the magnitude of , if:

Angle of friction Hard
A.
B.
C.
D.

59 A uniform block of height and width rests on a rough inclined plane. The inclination of the plane is gradually increased. If the coefficient of static friction is , the block will topple before it slides if:

Motion of bodies Hard
A.
B.
C.
D.

60 A belt passes over a fixed cylindrical drum of radius . The coefficient of friction is . If a tension is applied to one end, the minimum tension required at the other end to prevent slipping, given an angle of lap , is:

Limiting friction Hard
A.
B.
C.
D.