The USMC silent drill team uses an M-1 Garand rifle of mass M = 4:310 kg and L =

ID: 2257617 • Letter: T

Question

The USMC silent drill team uses an M-1 Garand rifle of mass M = 4:310 kg

and L = 1:100 m. Assume the M-1 Garand rifle is a long thin rod that is

rotated about its geometric center. A Marine rotates the rifle from rest at a

constant angular acceleration such that the rifle has an angular displacement

of 8 radians in the clockwise (CW) direction over 2.000 s. What torque did

the Marine exert upon the M-1 Garand rifle?

(courtesy of marines.mil)

A. 65:53 N m, CW C. 5:461 N m, CW

B. 32:77 N m, CW D. 4:965 N m, CW

s = 8 rad

t = 2s

s = ut + 0.5at^2

8 = 0 + 0.5*a*4

Thus, angular acceleration, a = 4 rad/s^2

Moment of inertia = 1/12 * m * l*2 = 1/12 * 4.310 * 1.1 * 1.1 = 0.434 kg.m^2

Torque = I.a = 4 * 0.434 = 1.738 N.m

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