Question

A set of eight boxes, 10.0 kg each, are stacked on top of a table, as...


A set of eight boxes, 10.0 kg each, are stacked on top of a table, as shown in the figure
below. (a) Draw a FBD of the top-most box and find the normal force exerted on it by the
box below. (b) Draw a FBD of the 2nd box from the top, including all three (!) forces
acting on it. Find the normal force acting on this box by the box below it. (c) Do you see
a pattern now? Draw a FBD of the lowest box, including all three forces acting on it.
What is the normal force that the table exerts on this box?

Person A pulls on a rope that suspends person B, as shown in the figure. If person B and
the platform he stands on have a combined mass of 45 kg and the tension in the rope is
273 N, what is the acceleration of person B? Is it up or down? Be sure to draw a FBD of

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Answer #1

a)

Usin equilibrium of force

Fn = mg

Fn = 10 x 9.8 = 98 N

b)

Using equilibrium of force

Fn' = Fn + mg

Fn' = 98 + (10) (9.8)

Fn' = 196 N

c)

F = force by the table

F' = normal force by the boxes above

Using equilibrium of force

F = mg + F'

F = mg + 9 mg

F =10 mg

F = (10) (10) (9.8)

F = 980 N

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