Transcribed: (5) For a body to be stationary in a frame of reference, what conditions must be met regarding
forces and torques? Explain what not meeting each of the conditions will result in.
(a) Show that the moment of inertia of a uniform thin rod (ruler,
shaded grey below in figure) of length L and mass M rotating
about its center is 1/12 ML²
y (m)4
L/2
F
-L/2
L/2 X (m)
A constant tangential force of F-2 N (shown) is applied at the
end to the initially stationary uniform thin rod of mass 2 kg and
length L-6m pivoted about its center at the time t=0 s. This will
rotate the rod. (b) Calculate the torque (Nm), and (c) the moment
of inertia of the rod. (d) Calculate the angular acceleration of the
rod (a rads/s²). (e) What is the angular displacement 0 at t = 1s
(in radians and in degrees). (f) What is the angular velocity of
the rod v at t = 1s. (g) What are the speeds of the tips of the rod
at t = Is (they are the same).
0
-L/2
0
00