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# Machine Kinematics MCQ – Velocity of a Point on a Link by Relative Velocity Method

The instantaneous centre is a point which is always fixed.

a) True

b) False

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Answer: b

Explanation: The instantaneous center is not always fixed.

The angular velocity of a rotating body is expressed in terms of

a) revolution per minute

b) radians per second

c) any one of the mentioned

d) none of the mentioned

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Answer: c

Explanation: Angular velocity is expressed both as revolution per minute and radians per second.

The linear velocity of a rotating body is given by the relation

a) v = rω

b) v = r/ω

c) v = ω/r

d) v = ω2/r

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Answer: a

Explanation: The linear velocity of a rotating body is given by the relation v = rω

The linear acceleration of a rotating body is given by the relation a = rα.

The linear acceleration of a rotating body is given by the relation

a) a = rα

b) a = r/α

c) a = α/r

d) a = α2/r

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Answer: a

Explanation: The linear velocity of a rotating body is given by the relation v = rω

The linear acceleration of a rotating body is given by the relation a = rα.

The relation between linear velocity and angular velocity of a cycle

a) exists under all conditions

b) does not exist under all conditions

c) exists only when it does not slip

d) exists only when it moves on horizontal plane

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Answer: a

Explanation: None.

The velocity of piston in a reciprocating pump mechanism depends upon

a) angular velocity of the crank

b) radius of the crank

c) length of the connecting rod

d) all of the mentioned

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Answer: d

Explanation: None.

The linear velocity of a point B on a link rotating at an angular velocity ω relative to another point A on the same link is

a) ω2AB

b) ωAB

c) ω(AB)2

d) ω/AB

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Answer: b

Explanation: None.

The linear velocity of a point relative to another point on the same link is ……….. to the line joining the points.

a) perpendicular

b) parallel

c) at 450

d) none of the mentioned

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Answer: a

Explanation: The total linear acceleration of a particle can be obtained by combining the two mutually perpendicular accelerations.

According to Kennedy’s theorem the instantaneous centres of three bodies having relative motion lie on a

a) curved path

b) straight line

c) point

d) none of the mentioned

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Answer: b

Explanation: The Aronhold Kennedy’s theorem states that if three bodies move relatively to each other, they have three instantaneous centres and lie on a straight line.

The instantaneous centers of a slider moving in a linear guide lies at

a) pin joints

b) their point of contact

c) infinity

d) none of the mentioned

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Answer: c

Explanation: The instantaneous centers of a slider moving in a linear guide lies at infinity.

The instantaneous centers of a slider moving in a curved surface lies at the center of curvature.