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Suppose that just two external forces act on a stationary Suppose that just two external forces act on a stationary rigid object and the two forces are equal in magnitude and opposite in direction. Under what condition does the object start to rotate? Is this the question you were looking for? If so, place your […]

Suppose a = b and M > m for the Suppose a = b and M > m for the system of particles described in Figure 10.8. About which axis (x, y, or z) does the moment of inertia have the smallest value? the largest value? Is this the question you were looking for? If […]

(a) Compute the torque developed by an industrial (a) Compute the torque developed by an industrial motor whose output is 150 kW at an angular speed of 4000 rev/min. (b) A drum with negligible mass, 0.400 m in diameter is attached to the molar shaft, and the power output of the molar is used to […]

(a) For a bicycle, how is the angular speed of (a) For a bicycle, how is the angular speed of the rear wheel (wg) related to that of the pedals and front sprocket (wF), Fig. 8-52? That is, derive a formula for wR/wF. Let NF and NR be the number of teeth on the front […]

(a) Show that the rotational inertia of a solid cylinder of (a) Show that the rotational inertia of a solid cylinder of mass M and radius R about its central axis is equal to the rotational inertia of a thin hoop of mass M and radius R/v2 about its central axis. (b) Show that the […]

(a) Calculate the magnitude of the angular momentum a) Calculate the magnitude of the angular momentum of the earth in a circular omit around the sun. Is it reasonable to model it as a particle? (b) Calculate the magnitude of the angular momentum of the earth due to its rotation around an axis through the […]

You set out to design a car that uses the You set out to design a car that uses the energy stored in a flywheel consisting of a uniform 100-kg cylinder of radius R. The flywheel must deliver an average of 2 MJ of mechanical energy per kilometer, with a maximum angular velocity of 400 […]

Which of the entries in Table 10.2 applies to finding Which of the entries in Table 10.2 applies to finding the moment of inertia of a long straight sewer pipe rotating about its axis of symmetry? Of an embroidery hoop rotating about an axis through its center and perpendicular to its plane? Of a uniform […]

(a) A grinding wheel 0.35 m in diameter rotates at (a) A grinding wheel 0.35 m in diameter rotates at 2500 rpm. Calculate its angular velocity in rad/s (b) What are linear speed and acceleration of a point on the edge of the grinding wheel? Is this the question you were looking for? If so, […]

When a turntable rotating at f rev/min is shut off, When a turntable rotating at f rev/min is shut off, it comes to rest in 26 s. Assuming constant angular acceleration, find (a) The angular acceleration, (b) The average angular velocity of the turntable, and (c) The number of revolutions it makes before stopping. Is […]