If you put a uniform block at the edge of a table, the center of the block must be over the table for the block not to fall off. (a) If you stack two identical blocks at the table edge, the center of the top block must be over the bottom block, and the center of gravity of the two blocks together must be over the table. In terms of the length L of each block, what is the maximum overhang possible ( Fig. P11.74 )? (b) Repeat part (a) for three identical blocks and for four identical blocks, (c) Is it possible to make a stack of blocks such that the uppermost block is not directly over the table at all? How many blocks would it take to do this? (Try.)
If you put a uniform block at the edge of a table, the center of the block must be over the table for the block not to fall off. (a) If you stack two identical blocks at the table edge, the center of the top block must be over the bottom block, and the center of gravity of the two blocks together must be over the table. In terms of the length L of each block, what is the maximum overhang possible ( Fig. P11.74 )? (b) Repeat part (a) for three identical blocks and for four identical blocks, (c) Is it possible to make a stack of blocks such that the uppermost block is not directly over the table at all? How many blocks would it take to do this? (Try.)
If you put a uniform block at the edge of a table, the center of the block must be over the table for the block not to fall off. (a) If you stack two identical blocks at the table edge, the center of the top block must be over the bottom block, and the center of gravity of the two blocks together must be over the table. In terms of the length L of each block, what is the maximum overhang possible (Fig. P11.74)? (b) Repeat part (a) for three identical blocks and for four identical blocks, (c) Is it possible to make a stack of blocks such that the uppermost block is not directly over the table at all? How many blocks would it take to do this? (Try.)
A P8.11
SL:
dir
Find the x and y coordinates of the center of gravity of a 4.00 ft by 8.00 ft uniform sheet of
plywood with the upper right quadrant removed as shown in the following figure. Hint: The mass
of any segment of the plywood sheet is proportional to the area of that segment.
y (ft)
4.00
2.00
x(ft)
0-
0
4.00 6.00 8.00
2.00
To get up on the roof, a person with a mass m = 71 kg leans an aluminum ladder (mass 10.5 kg and length 6.0 m) against the house on a concrete pad with the base of the ladder 2.00 m from the house. The ladder just overhangs a plastic rain gutter, which we can assume to be frictionless, so the force from the gutter on the ladder acts perpendicularly to the ladder. As a result, the top of the ladder experiences a normal force at an angle, while the bottom of the ladder experiences both a vertical normal force and a horizontal friction force. The center of mass of the ladder is 2 m from the bottom. The person is standing 3 m from the bottom.
a.) What is the magnitude of the net force on the ladder at the top? Give your answer in newtons
b.) What is the magnitude of the net force on the ladder at the bottom? Give your answer in newtons
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