GATE ME 2019 Set 1 — Question 29
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Engineering Mechanics → Statics → Friction & Applications
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Question
A block of mass 10 kg rests on a horizontal floor. The acceleration due to gravity is . The coefficient of static friction between the floor and the block is 0.2. A horizontal force of 10 N is applied on the block as shown in the figure. The magnitude of force of friction (in N) on the block is ______
Correct answer
10 to 10
Solution
First, we calculate the normal force acting on the block:
Next, we determine the maximum possible static friction force :
The applied horizontal force is .
Since the applied force (10 N) is less than the maximum static friction force (19.62 N), the block will not move. It remains in static equilibrium.
In static equilibrium, the friction force must exactly balance the applied force to prevent motion:
Next, we determine the maximum possible static friction force :
The applied horizontal force is .
Since the applied force (10 N) is less than the maximum static friction force (19.62 N), the block will not move. It remains in static equilibrium.
In static equilibrium, the friction force must exactly balance the applied force to prevent motion:
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