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Chapter 10: Q89P (page 293)
A bicyclist of mass puts all his mass on each downward moving pedal as he pedals up a steep road. Take the diameter of the circle in which the pedals rotate to be , and determine the magnitude of the maximum torque he exerts about the rotation axis of the pedals.
Magnitude of maximum torque is
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A car starts from rest and moves around a circular track of radius30.0M. Its speed increases at the constant rate of 0.500M/S2. (a) What is the magnitude of its net linear acceleration 15.0slater? (b) What angle does this net acceleration vector make with the car’s velocity at this time?
Attached to each end of a thin steel rod of length and mass is a small ball of mass . The rod is constrained to rotate in a horizontal plane about a vertical axis through its midpoint. At a certain instant, it is rotating at . Because of friction, it slows to a stop in .Assuming a constant retarding torque due to friction, compute
(a) the angular acceleration,
(b) the retarding torque,
(c) the total energy transferred from mechanical energy to thermal energy by friction, and
(d) the number of revolutions rotated during the .
(e) Now suppose that the retarding torque is known not to be constant. If any of the quantities (a), (b), (c), and (d) can still be computed without additional information, give its value.
A diver makes revolutions on the way from ahigh platform to the water. Assuming zero initial vertical velocity, find the average angular velocity during the dive.
If an airplane propeller rotates at while the airplane flies at a speed of relative to the ground, what is the linear speed of a point on the tip of the propeller, at radius , as seen by (a) the pilot and (b) an observer on the ground? The plane’s velocity is parallel to the propeller’s axis of rotation.
In Fig., a wheel of radius is mounted on a frictionless horizontal axle. A massless cord is wrapped around the wheel and attached to abox that slides on a frictionless surface inclined at angle with the horizontal. The box accelerates down the surface at. What is the rotational inertia of the wheel about the axle?
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