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Chapter 12: Q. 21 (page 331)
The axle in FIGURE EX12.21 is half the distance
to the rim. What is the net torque about the axle? II
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A 10 g bullet traveling at 400 m/s strikes a 10 kg, 1.0-m-wide door at the edge opposite the hinge. The bullet embeds itself in the door, causing the door to swing open. What is the angular velocity of the door just after impact?
a. A disk of mass M and radius R has a hole of radius r centered on the axis. Calculate the moment of inertia of the disk.
b. Confirm that your answer agrees with Table 12.2 when r = 0 and when r = R.
c. A 4.0-cm-diameter disk with a 3.0-cm-diameter hole rolls down a 50-cm-long, 20o ramp. What is its speed at the bottom? What percent is this of the speed of a particle
sliding down a frictionless ramp?
In FIGURE EX12.19, what magnitude force provides net torque about the axle?
An 800 g steel plate has the shape of the isosceles triangle shown in FIGURE P12.50. What are the x- and y-coordinates of the center of mass?
Hint: Divide the triangle into vertical strips of width dx, then relate the mass dm of a strip at position x to the values of x and dx.
A high-speed drill reaches in .
a. What is the drill's angular acceleration?
b. Through how many revolutions does it turn during this first ?
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