A block is placed on a flat board that is hinged at one end (pivot). The free side of the board is then lifted very slowly, as shown in Fig. 1(b). When the board is lifted, the friction between the block and the board prevents the block from moving. At a certain angle (θc), at a height h, however, the block begins to slide downward. (a) If the board is held at this angle, with what velocity will the block reach the base? Consider µe and µc as the coefficients of static and kinetic friction, respectively, and give your answer as a function of the variables in the statement. (b) Conceptual discussion - If the condition µc < µe were not true, what would happen to the block and how much would the acceleration be in this situation?
Rotational Equilibrium And Rotational Dynamics
In physics, the state of balance between the forces and the dynamics of motion is called the equilibrium state. The balance between various forces acting on a system in a rotational motion is called rotational equilibrium or rotational dynamics.
Equilibrium of Forces
The tension created on one body during push or pull is known as force.
A block is placed on a flat board that is hinged at one end (pivot). The free side of the board is then lifted very slowly, as shown in Fig. 1(b). When the board is lifted, the friction between the block and the board prevents the block from moving. At a certain angle (θc), at a height h, however, the block begins to slide downward. (a) If the board is held at this angle, with what velocity will the block reach the base? Consider µe and µc as the coefficients of static and kinetic friction, respectively, and give your answer as a function of the variables in the statement. (b) Conceptual discussion - If the condition µc < µe were not true, what would happen to the block and how much would the acceleration be in this situation?
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