GATE ME 2014 Set 1 — Question 45
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Engineering Mechanics → Dynamics → Friction & Applications
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Question
A block weighing is in contact with a level plane whose coefficients of static and kinetic friction are and , respectively. The block is acted upon by a horizontal force (in newton) , where denotes the time in seconds. The velocity (in m/s) of the block attained after 10 seconds is _______
Correct answer
4.8 to 5
Solution
1.Determine when the block starts moving:
The block starts moving when the applied force exceeds the maximum static friction force .Given , the block starts moving at:
2.Equation of motion for :
Once the block is in motion, kinetic friction acts on it.The net force is .
Mass of the block .
3.Calculate velocity at :
The velocity of the block after 10 seconds is approximately .Continue learning with Success Tracker
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