FI 3-2. If motor M exerts a force of F = (lOr + 100) N on

Chapter 13, Problem F13-2

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QUESTION:

If motor M exerts a force of \(F=\left(10 t^{2}+100\right) \mathrm{N}\) on the cable, where t is in 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 \(\mu_{s}=0.3 \text { and } \mu_{k}=0.25\), respectively.The crate is initially at rest.

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QUESTION:

If motor M exerts a force of \(F=\left(10 t^{2}+100\right) \mathrm{N}\) on the cable, where t is in 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 \(\mu_{s}=0.3 \text { and } \mu_{k}=0.25\), respectively.The crate is initially at rest.

ANSWER:

Step 1 of 4

The free body diagram of crate is shown below,

                                                     

The normal force on the block can be calculated as,

                                                             

For , .

                                                             

The force at  can be calculated as,

                                                             

 

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