Your task in a science contest is to stack four identical uniform bricks, each of length L, so that the top brick is as far to the right as possible without the stack falling over. Is it possible, as Figure P12.61 shows, to stack the bricks such that no part of the top brick is over the table? Answer this question by determining the maximum possible value of d.
The maximum possible value of d = 4/5 L
4 bricks with length of L each is stacked as shown in given figure.
First find the center of mass using
From the figure we see each brick is shifted d/4 rightwards, from the previous one,
Use these in equation (1) we get
For the stack to be stable xCom=0
An athlete at the gym holds a 3.0 kg steel ball in his hand. His BI0 arm is 70 cm long and has a mass of 3.8 kg , with the center of mass 40% at of the arm length. What is the magnitude of the torque about his shoulder due to the ball and the weight of his arm if he holds his arm
a. Straight out to his side, parallel to the floor?
b. Straight, but below horizontal?
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