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Interactive Solution 9.37 presents a method for modeling this problem. Multiple-Concept Example 10 offers useful background for problems like this one. A cylinder is rotating about an axis that passes through the center of each circular end piece. The cylinder has a radius of 0.100 m, an angular speed of 74.0 rad/s, and a moment of inertia of 0.678 kg·m2. A brake shoe presses against the surface of the cylinder and applies a tangential frictional force to it. The frictional force reduces the angular speed of the cylinder by a factor of 5 during a time of 3.00 s. (a) Find the magnitude of the angular deceleration of the cylinder. (b) Find the magnitude of the force of friction applied by the brake shoe.

Answer #1

A cylinder is rotating about an axis that passes through the
center of each circular end piece. The cylinder has a radius of
0.120 m, an angular speed of 62.0 rad/s, and a moment of inertia of
1.46 kg·m2. A brake shoe presses against the surface of the
cylinder and applies a tangential frictional force to it. The
frictional force reduces the angular speed of the cylinder by a
factor of 3 during a time of 6.00 s. (a) Find...

Interactive Solution 11.35 presents one method for modeling this
problem. Multiple-Concept Example 8 also presents an approach to
problems of this kind. The hydraulic oil in a car lift has a
density of 8.68 x 102 kg/m3. The weight of the input piston is
negligible. The radii of the input piston and output plunger are
5.09 x 10-3 m and 0.140 m, respectively. What input force F is
needed to support the 21700-N combined weight of a car and the...

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