I just need someone to explain how to obtain b and c. I already got a. Thanks. I

Question

I just need someone to explain how to obtain b and c. I already got a.

Thanks.

In Fig. 5-45, a block of mass m = 4.76 kg is pulled along a horizontal frictionless floor by a cord that exerts a force of magnitude F = 11.7 N at an angle theta = 25.0degree. (a) What is the magnitude of the block's acceleration? (b) The force magnitude F is slowly increased. What is its value just before the block is lifted (completely) off the floor? (c) What is the magnitude of the block's acceleration just before it is lifted (completely) off the floor? I just need someone to explain how to obtain b and c. I already got a. Thanks.

Explanation / Answer

b) the vale of the force magnitude F will be determined, in this case, by the y component of the force when it is equal to the downward force of gravity

Fg=mg

y component of the force: Fsin

set y component of force equal to downward force of gravity and solve for F:

Fg=Fsin

c) the block's acceleration can then be determined by F=ma. You have the mass (m), now it just depends what component of the acceleration they are looking for. For the y componenet F=Fsin. For the x component F=Fcos. For the force in the direction above F is simply F.

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