Sliding Along A hollow sphere of mass M and radius R is placed under a

Question

Notify Me Bookmark

Sliding Along A hollow sphere of mass M and radius R is placed under a plank of mass 3M and length 2R. The plank is hinged to the floor, and it initially makes an angle θ = π 3 rad to the horizontal. Under the weight of the plank, the cylinder starts rolling without slipping across the floor. What is the cylinder's initial translational acceleration? Assume the plank is frictionless. A not-to-scale picture of the sphere-plank setup.

Image text

Sliding Along A hollow sphere of mass $M$ and radius $R$ is placed under a plank of mass $3 M$ and length $2 R$ . The plank is hinged to the floor, and it initially makes an angle $θ = \frac{π}{3}$ rad to the horizontal. Under the weight of the plank, the cylinder starts rolling without slipping across the floor. What is the cylinder's initial translational acceleration? Assume the plank is frictionless. A not-to-scale picture of the sphere-plank setup.