Engineering
Physics
Center of Mass
Thermal Expansion
Free Body Diagram
Question

A uniform circular disc with the hole lies over a smooth horizontal surface, C is centre of the disc and A is a point on the rim of the disc as shown. As the temperature is increased.

Both remain at rest

C remains at rest & A to right

Both A & C move to right

C moves to left & A to right

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Solution
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When temperature increases, the disc expands uniformly. Since the hole is symmetric about the center C, the expansion occurs equally in all directions from C. On a smooth horizontal surface with no external forces, the center of mass remains stationary due to conservation of momentum. Thus, point C (the center) stays at rest.

Point A, on the rim, moves radially outward due to thermal expansion. Since the disc is uniform and symmetric, this outward movement has a horizontal component to the right (as shown in the diagram), causing point A to move to the right.

Final answer: C remains at rest & A to right