In: Physics
A disc with radius 0.060 m and rotational inertia 0.061 kg.m^2 has a rope wrapped around its parameter. The other end of the rope is holding a 0.20 kg mass. The mass is held at 1.0 m above the floor. You release the mass from rest. This causes the disc to spin and the mass to fall. How long does it take the mass to fall to the ground?
Hint: use torque and angular acceleration.
A solid sphere of radius 0.13 m and mass 0.25 kg rolls down an incline plane without slipping. If the incline plane is 0.40 m tall and has an angle of 24° then how long does it take the sphere to roll down the incline plane?
Hint: rotational inertia of a solid sphere is 2/5*(mr^2).