If the motor exerts a force of F = (600 + 2s^2)N on the cable, determine the speed of the 100-kg...
If the motor exerts a force of F=(600+2S2) N on the cable, determine the speed of the 100-kg crate when it rises to s= 15m. The crate is initially at rest on the ground.
Homework Answers
Solve this problem using the principle of work and energy since it involves force, velocity and displacement. From the free body diagram, the lifting force 
does positive work, which must be determined by integration since this force is a variable. Also, the weight is constant and will do negative work since the displacement is upwards.
Now apply the principle of work and energy between cable and crate system.
Initially the velocity 
is zero since the crate is at rest. Thus the above relation reduces to,
…… (1)
is the weight of the crate, 
is the force exerted by the motor, 
is the final velocity of the crate and 
is the distance moved by the crate.Calculate weight of the crate using the relation:
Substitute 
for 
, 
for 
, 
for 
and 
for 
in equation (1)
Therefore velocity of the crate is 
Add Answer to:
If the motor exerts a force of F = (600 + 2s^2)N on the cable, determine the speed of the 100-kg...
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