GATE ME 2018 Set 1 — Question 64
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Engineering Mechanics → Dynamics → Dynamics of Rigid Bodies
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Question
Block P of mass 2 kg slides down the surface and has a speed 20 m/s at the lowest point, Q, where the local radius of curvature is 2 m as shown in the figure. Assuming m/s, the normal force (in N) at Q is _______ (correct to two decimal places).
Correct answer
419 to 421
Solution
At the lowest point Q of the curved path, the block experiences its weight () acting downwards and the normal reaction force () acting upwards towards the center of curvature.
N.Thus, the normal force at Q is 420 N.
1.Equation of Motion:
The net force towards the center of curvature provides the centripetal acceleration:2.Substitute Given Values:
- kg
- m/s
- m
- m/s
N.Thus, the normal force at Q is 420 N.
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