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# (5) For a body to be stationary in a frame of reference, what conditions must be met regarding forces and torques? Expla...

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

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