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A diver comes off a board with arms straight A diver comes off a board with arms straight up and legs straight down, giving her a moment of inertia about her rotation axis of 18 kg nt. She then tucks into a small ball, decreasing this moment of inertia to 3.6 kg m2. While tucked, […]

A demonstration gyroscope wheel is constructed by removing the t A demonstration gyroscope wheel is constructed by removing the tire from a bicycle wheel 0.650 m in diameter, wrapping lead wire around the rim, and taping it in place. The shaft projects 0.200 m at each side of the wheel, and a woman holds the […]

A disk, initially rotating at 120 rad/s, is slowed down A disk, initially rotating at 120 rad/s, is slowed down with a constant angular acceleration of magnitude 4.0 rads2. (a) How much time does the disk take to stop? (b) Through what angle does the disk rotate during that time? Is this the question you […]

(a) Find the angular acceleration of the cylinder in Problem (a) Find the angular acceleration of the cylinder in Problem 96. Is the cylinder rotating clockwise or counter-clockwise? (b)What is the cylinder’s linear acceleration relative to the table? Let the direction of be the positive direction. (c) What is the linear acceleration of the cylinder […]

You hang a thin hoop with radius R You hang a thin hoop with radius R over a nail at the rim of the hoop. You displace it to the side (within the plane of the hoop) through an angle fJ from its equilibrium position and let it go. What is its angular speed when […]

A disk rotates about its central axis starting from rest A disk rotates about its central axis starting from rest and accelerates with constant angular acceleration. At one time it is rotating at 10 rev/s; 60 revolutions later, its angular speed is 15 rev/s. Calculate (a) The angular acceleration, (b) The time required to complete […]

Help with homwork Winterbank Productions issues $4 million of 6-year, 8 percent bonds on January 1, 2013. Interest is payable on July 1 and January 1, and financial statements are prepared on December 31. Winterbank uses the straight-line amortization method. a. Prepare the journal entries for 2013, assuming the bonds were issued at 98. b. […]

You need to design an industrial turntable You need to design an industrial turntable that is 60.0 cm in diameter and bas a kinetic energy of 0.250 J when turning at 45.0 rpm {rev/min}. (a) What must be the moment of inertia of the turntable about the rotation axis? (b) If your workshop makes this […]

You are to design a rotating cylindrical You are to design a rotating cylindrical axle to lift 800-N buckets of cement from the ground to a rooftop 7S.0 m above the ground. The buckets will be attached to a hook on the free end of a cable that wraps around the rim of the axle; […]

Show that the moment of inertia of a spherical shell of radius Show that the moment of inertia of a spherical shell of radius R and mass m is 2mR2/3. This can be done by direct integration or, more easily, by finding the increase in the moment of inertia of a solid sphere when its […]