If motor M exerts a force of F = (10t2 + 100) N on the cable, where t isin seconds, determ...
If motor M exerts a force of F = (10t2 + 100) N on the cable, where t isin seconds, determine the velocity of the 25-kg crate when t = 4 s. The coefficients of static and kinetic friction between the crate and the plane are μs = 0.3 and μk = 0.25, respectively. The crate is initially at rest.
Step-by-Step Solution
Given data:
Mass of the crate, 
Coefficient of static friction, 
Coefficient of kinetic friction, 
Time taken, 
Force exerted by the motor, 
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At 
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Free body diagram
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From the free body diagram,
Applying the equilibrium condition normal to the force direction
The minimum force exerted is given by,
Frictional force is given by,
Therefore, 
Applying the equilibrium condition along the force direction,
From kinetics we know that,
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