(II) Figure 11–35 shows two masses connected by a cord passing over a pulley of radius R 0 and moment of inertia I . Mass M A slides on a frictionless surface, and M B hangs freely. Determine a formula for ( a ) the angular momentum of the system about the pulley axis, as a function of the speed v of mass M A or M B , and ( b ) the acceleration of the masses. FIGURE 11–35 Problem 41.
(II) Figure 11–35 shows two masses connected by a cord passing over a pulley of radius R 0 and moment of inertia I . Mass M A slides on a frictionless surface, and M B hangs freely. Determine a formula for ( a ) the angular momentum of the system about the pulley axis, as a function of the speed v of mass M A or M B , and ( b ) the acceleration of the masses. FIGURE 11–35 Problem 41.
(II) Figure 11–35 shows two masses connected by a cord passing over a pulley of radius R0 and moment of inertia I. Mass MA slides on a frictionless surface, and MB hangs freely. Determine a formula for (a) the angular momentum of the system about the pulley axis, as a function of the speed v of mass MA or MB, and (b) the acceleration of the masses.
FIGURE 11–35
Problem 41.
Definition Definition Product of the moment of inertia and angular velocity of the rotating body: (L) = Iω Angular momentum is a vector quantity, and it has both magnitude and direction. The magnitude of angular momentum is represented by the length of the vector, and the direction is the same as the direction of angular velocity.
(II) Figure 11–35 shows two masses connected by a cord
passing over a pulley of radius R, and moment of inertia I.
Mass MA slides on a frictionless surface, and Mg hangs freely.
Determine a formula for (a) the angular momentum of
the system about the pulley axis, as a function of the speed v
of mass MA or Mg,
and (b) the accelera-
MA
tion of the masses.
MB
FIGURE 11-35
Problem 41.
. The moment of inertia of a rotating solid disk about an axis
through its CM is MR? (Fig. 8–20c). Suppose instead that
a parallel axis of rotation passes through a point on the
edge of the disk. Will the moment of inertia be the same,
larger, or smaller? Explain why.
Two weights on a bar: different axis, different I. Two small "weights," of mass 5.2 kg and 8.3 kg, are mounted 6.0 m apart on a light rod (whose mass can be ignored), as shown in Fig. 8–19.
Calculate the moment of inertia of the system when rotated about an axis halfway between the weights, Fig. 8–19a.
Units = kg*m^2
Two weights on a bar: different axis, different I. Two small "weights," of mass 5.6 kg and 6.9 kg, are mounted 4.0 m apart on a light rod (whose mass can be ignored), as shown in Fig. 8–19.
Calculate the moment of inertia of the system when rotated about an axis halfway between the weights, Fig. 8–19a.
Two weights on a bar: different axis, different I. Two small "weights," of mass 7.2 kg and 5.6 kg, are mounted 5.0 m apart on a light rod (whose mass can be ignored), as shown in Fig. 8–19.
Calculate the moment of inertia of the system when rotated about an axis 1.83 m to the left of the 7.2-kg mass (Fig. 8–19b).
Two weights on a bar: different axis, different I.…
Chapter 11 Solutions
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