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Chapter 10: Q50P (page 290)
If a 32.0Nmtorque on a wheel causes angular acceleration 25.0rad/s2, what is the wheel鈥檚 rotational inertia?
Rotational inertia of the wheel is 1.28kg.m2 .
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In Fig., a thin uniform rod (mass, length) rotates freely about a horizontal axis A that is perpendicular to the rod and passes through a point at distancefrom the end of the rod. The kinetic energy of the rod as it passes through the vertical position is. (a) What is the rotational inertia of the rod about axis A? (b) What is the (linear) speed of the end B of the rod as the rod passes through the vertical position? (c) At what angle u will the rod momentarily stop in its upward swing?
In a judo foot-sweep move, you sweep your opponent鈥檚 left foot out from under him while pulling on his gi (uniform) toward that side. As a result, your opponent rotates around his right foot and onto the mat. Figure shows a simplified diagram of your opponent as you face him, with his left foot swept out. The rotational axis is through point . The gravitational force on him effectively acts at his center of mass, which is a horizontal distance from point . His mass is , and his rotational inertia about point is .What is the magnitude of his initial angular acceleration about point if your pull on his gi is (a) negligible and (b) horizontal with a magnitude of and applied at height ?
A pulsar is a rapidly rotating neutron star that emits a radio beam the way a lighthouse emits a light beam. We receive a radio pulse for each rotation of the star. The period T of rotation is found by measuring the time between pulses. The pulsar in the Crab nebula has a period of rotation of that is increasing at the rate of .
(a) What is the pulsar鈥檚 angular acceleration ?
(b) If is constant, how many years from now will the pulsar stop rotating?
(c) The pulsar originated in a supernova explosion seen in the year .Assuming constant a, find the initial T.
Figure shows particles and , each of mass m, fixed to the ends of a rigid massless rod of length , with and . The rod is held horizontally on the fulcrum and then released. What are the magnitudes of the initial accelerations of
(a) particle and
(b) particle ?
The body in Fig. 10-40 is pivoted at O. Three forces act on FA = 10N it: at point A,8.0m from O; FB = 16N at B,4.0m from O ; FC = 19Nandat C,3.0m from O. What is the net torque about O ?
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