This set of Machine Kinematics Multiple Choice Questions & Answers (MCQs) focuses on “Linear Velocity – 1”.

1. The relative velocity of B with respect to A in a rigid link AB is

a) parallel to AB

b) perpendicular to AB

c) along AB

d) at 45^{0}

View Answer

Explanation: The relative velocity of any two points on a rigid link is always normal to the line joining the two points.

2. The magnitude of linear velocity of a point B on a link AB relative to point A is

a) ω x AB

b) ω(AB)^{2}

c) ω^{2}AB

d) (ω x AB)^{2}

View Answer

Explanation: None

3. The direction of linear velocity of any point on a link with respect to another point on the same link is

a) parallel to the link joining the points

b) perpendicular to the link joining the points

c) at 45^{0} to the link joining the points

d) none of the mentioned

View Answer

Explanation: The relative velocity of any two points on a rigid link is always normal to the line joining the two points.

4. The two links OA and OB are connected by a pin joint at O. If the link OA turns with angular velocity ω_{1} rad/s in the clockwise direction and the link OB turns with angular velocity ω_{2} rad/s in the anti-clockwise direction, then the rubbing velocity at the pin joint O is

a) ω_{1}.ω_{2}.r

b) (ω_{1}-ω_{2})r

c) (ω_{1}+ω_{2})r

d) (ω_{1}-ω_{2})2r

View Answer

Explanation: Consider two links OA and OB connected by a pin joint at O

Let ω

_{1}= Angular velocity of the link OA or the angular velocity of the point A with respect to O.

ω

_{2}= Angular velocity of the link OB or the angular velocity of the point B with respect to O, and

r = Radius of the pin.

According to the definition,

Rubbing velocity at the pin joint O

= (ω

_{1}– ω

_{2}) r, if the links move in the same direction

= (ω

_{1}+ ω

_{2}) r, if the links move in the opposite direction

5. In the above question, if both the links OA and OB turns in clockwise direction, then the rubbing velocity at the pin joint O is

a) ω_{1}.ω_{2}.r

b) (ω_{1}-ω_{2})r

c) (ω_{1}+ω_{2})r

d) (ω_{1}-ω_{2})2r

View Answer

Explanation: Consider two links OA and OB connected by a pin joint at O

Let ω

_{1}= Angular velocity of the link OA or the angular velocity of the point A with respect to O.

ω

_{2}= Angular velocity of the link OB or the angular velocity of the point B with respect to O, and

r = Radius of the pin.

According to the definition,

Rubbing velocity at the pin joint O

= (ω

_{1}– ω

_{2}) r, if the links move in the same direction

= (ω

_{1}+ ω

_{2}) r, if the links move in the opposite direction

6. ABCD is a four bar mechanism in which AB = 310mm and CD = 450mm. AB and CD are both perpendicular to the fixed link AD. If the velocity of B at this condition is v. Then the velocity of C is

a) v

b) 2/3 v

c) 3/2 v

d) 9/4 v

View Answer

Explanation: Velocity at C = CD/AB x velocity at B

= 450/310 x v

= 3/2 v

7. A thin circular disc is rolling with a uniform linear speed, along a straight path on a plane surface. Which of the following statement is correct in this regard?

a) All points of the disc have the same velocity.

b) The centre of the disc has zero acceleration.

c) The centre of the disc has centrifugal acceleration.

d) The point on the disc making contact with the plane surface has zero acceleration.

View Answer

Explanation: None

8. The component of the accelertion, parallel to the velocity of the particle, at the given instant is called

a) radial component

b) tangential component

c) coriolis component

d) none of the mentioned

View Answer

Explanation: The centripetal or radial component, is perpendicular to the velocity of the particle at the given instant.

The tangential component, is parallel to the velocity of the particle at the given instant.

9. The component of the accelertion, perpendicular to the velocity of the particle, at the given instant is called

a) radial component

b) tangential component

c) coriolis component

d) none of the mentioned

View Answer

Explanation: The centripetal or radial component, is perpendicular to the velocity of the particle at the given instant.

The tangential component, is parallel to the velocity of the particle at the given instant.

10. A point B on a rigid link AB moves with respect to A with angular velocity ωrad/s. The total acceleration of B with respect to A will be equal to

a) vector sum of radial component and coriolis component

b) vector sum of tangential component and coriolis component

c) vector sum of radial component and tangential component

d) vector difference of radial component and tangential component

View Answer

Explanation: None

**Sanfoundry Global Education & Learning Series – Machine Kinematics.**

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