Problem Recall that in part C of section II of the tutorial Equilibrium of rigid

Question

Problem

Recall that in part C of section II of the tutorial Equilibrium of rigid bodies a T-shaped board was hung from the hole through the center of mass and held at an angle as shown. You observed that the board remained at rest when released. What does this observation imply about the net torque about the pivot? Explain. Draw an extended free-body diagram for the board in the space at right. Is the point at which you placed the gravitational force on your diagram consistent with your answer for the net torque about the pivot? Explain. Suppose the board and piece of clay were in equilibrium as in section II of the tutorial Equilibrium of rigid bodies. Imagine that the piece of clay is moved to a location closer to the pivot by moving it directly upward to point B. Neglect friction. Would the board remain at rest in this case? Explain. On the figure above, mark the approximate location of the center of mass of the system composed of clay (at point B) and board with an "x." Explain. Is the amount of mass of the system (clay and board) to the left of the dashed line greater than, less than, or equal to the amount of mass of the system to the right of the dashed line? Explain.

Explanation / Answer

(a)

the board remains at rest in this case

because there is no horizontal displacement of the clay the torque acting will not change

(b)

due to the prescence of clay the centre of mass slightly shifts towards left from th edotted line

(c)

the amount of mass of the system to the left of the dashed line is greater than the amount of mass of the system to the right of the dashed line

because the clay will be shift the centre of mass towards left so that the left mass will be more than right

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