AP EAMCET202421 May 2024Morning ShiftPhysicsRotational MotionActual
The masses of a solid cylinder and a hollow cylinder are 3.2 kg and 1.6 kg respectively. Both the solid cylinder and hollow cylinder start from rest from the top of an inclined plane and roll down without slipping. If both the cylinders have equal radius and the acceleration of the solid cylinder is 4 ~ms ⁻² , the acceleration of the hollow cylinder is
Options
- A2 ~ms ⁻²
- B9 ~ms ⁻²
- C6 ~ms ⁻²
- D3 ~ms ⁻²
Correct answer
D. 3 ~ms ⁻²
Step-by-step solution
For solid cylinder, K ^2 R ^2 = 1 2 aligned & a₁= g 1+ k ^2 R ^2 = g 1+ 1 2 = 2 3 g =4^ & g =6 aligned For hollow cylinder, K ^2 R ^2 =1 a₂= g 1+ k ^2 R ^2 = 1 2 g = 1 2 6=3 ~m / s ^2