In a crank and slotted lever type quick rerun mechanism, the link moves with an angular velocity of 20 rad/s while the slider moves with a linear velocity of 1.5 m/s. The magnitude and direction of Coriolis component of acceleration with respect to angular velocity are 

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ESE Mechanical 2015 Paper 2: Official Paper
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  1. 30m/s2 and direction is such as to rotate slider velocity in the same sense as the angular velocity
  2. 30 m/s2 and direction is such as to rotate slider velocity in the opposite sense as the angular velocity
  3. 60 m/s2 and direction is such as to rotate slider velocity in the same sense as the angular velocity
  4. 60 m/s2 and direction is such as to rotate slider velocity in the opposite sense as the angular velocity

Answer (Detailed Solution Below)

Option 3 : 60 m/s2 and direction is such as to rotate slider velocity in the same sense as the angular velocity
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Detailed Solution

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Concept:

The Coriolis Effect occurs when an object traveling in a straight path is viewed from a moving frame of reference. The moving frame of reference causes the object to appear as if it is traveling along a curved path.

Direction of Coriolis acceleration: The direction is determined by rotating the velocity vector by 90° in the sense of angular velocity.

Magnitude of Coriolis acceleration = 2 × v × ω

Calculation:

Given, ω = 20 rad/s, v = 1.5 m/s

a = 2 × 1.5 × 20

a = 60 m/s2

The direction of the Coriolis acceleration is obtained by rotating the velocity vector in the sense of angular velocity of the link by 90°, the direction is shown below

F1 M.J Madhu 15.04.20 D 1

It seems that the Coriolis component is trying to rotate the slider in the direction of the angular velocity of the link.

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