The block shown in $($Figure $1)$ has a mass of $m=100kg,$ a height $H$

$=1\mathrm{.}3m,$ and width $L=1\mathrm{.}9m.$ It is resting on a ramp that makes an

angle $=37$ with the horizontal. A force $P$ is applied parallel to the

surface of the ramp at the top of the block. What is the maximum force

that can be applied without causing the block to move? The coefficient

of static friction is ${}_s=0\mathrm{.}42,$ and the center of mass of the block is at

the center of the rectangle.

Figure

$1$ of $2$

force between the block and the ramp?

Express your answer to three significant figures with appropriate units.

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$N$

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Part B

What is the maximum magnitude of $P$ that can be applied before slipping would occur, assuming the block does not tip?

Express your answer to three significant figures with appropriate units.

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Part D

Use the free$-$body diagram shown in $($Figure $2)$ and write the equilibrium equation for the moments about the point of contact.

Express your answer in terms of one or more of P

$,$ W

$,$ H

$,$ L

$,$ N

$,$ F

$,$ and $\backslash$theta

$.$

$$MO$=0$

$=$

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Part E

What is the maximum magnitude of P

that can be applied before tipping would occur, assuming the block does not slip?

Express your answer to three significant figures with appropriate units.

Ptip

$=$

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Part F

What is the maximum magnitude of P

that does not cause motion of the block?

Express your answer to three significant figures with appropriate units.

Pmax

$=$