Problem

A rod of mass m and length L is hinged at one end, and a force F is applied at one end a...

A rod of mass m and length L is hinged at one end, and a force F is applied at one end as shown in Figure 8.32 for rod 1. An identical rod is mounted on an axle so that it rotates about its center, and a force F is applied to its end as shown for rod 2 in Figure 8.32. If the forces are the same, which rod has the greater angular acceleration? What is the ratio of the angular accelerations?

(a) The angular accelerations are the same,

(b) Rod 1 has the larger angular acceleration, with

(c) Rod 1 has the larger angular acceleration, with

(d) Rod 2 has the larger angular acceleration, with

(e) Rod 2 has the larger angular acceleration, with

(reference figure 8.32)

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