GATE ME 2014 Set 3 — Question 41
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Engineering Mechanics → Dynamics → Friction & Applications
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Question
A body of mass () 10 kg is initially stationary on a inclined plane as shown in figure. The coefficient of dynamic friction between the body and the plane is 0.5. The body slides down the plane and attains a velocity of 20 m/s. The distance travelled (in meter) by the body along the plane is _______ 
Correct answer
56 to 59
Solution
1.Identify the forces acting on the body along the inclined plane:
- Component of weight down the incline:
- Normal force:
- Kinetic friction force up the incline:
Given , , and m/s:
m/s
3.Use the kinematic equation to find the distance ():
Given (initially stationary) and m/s:
m.The distance travelled is approximately 57.67 meters, which falls within the range of 56 to 59.
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