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Chapter 10: Q33P (page 289)
Calculate the rotational inertia of a wheel that has a kinetic energy of 24400 Jwhen rotating at 602rev/min.
Rotational inertia of a wheel is, l = 12.3 kg.m2.
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In Fig. 10 - 37, two particles, each with mass m = 0.85KG , are fastened to each other, and to a rotation axis at O , by two thin rods, each with length d = 5.6cm and mass M = 1.2kg . The combination rotates around the rotation axis with the angular speed v = 0.30rad/s . Measured about O, what are the combination鈥檚 (a) rotational inertia and (b) kinetic energy?
The angular position of a point on the rim of a rotating wheel is given by, where is in radians and is in seconds. What are the angular velocities at
(a) and
(b) ?
(c) What is the average angular acceleration for the time interval that begins at and ends at ? What are the instantaneous angular accelerations at
(d) the beginning and
(e) the end of this time interval?
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 ?
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 ?
An object rotates about a fixed axis, and the angular position of a reference line on the object is given by,where is in radians and tis in seconds. Consider a point on the object that is from the axis of rotation. At , what are the magnitudes of the point鈥檚
(a) tangential component of acceleration and
(b) radial component of acceleration?
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