5. A cord is wrapped around a pulley that is shaped like a disk of mass m and radius r. The cord’s free end is connected to a block of mass M. The block starts from rest and then slides down an incline that makes an angle θ with the horizontal as shown in the figure. The coefficient of kinetic friction between block and inclined plane is μ = 0.250. The moment of inertia of the pulley is: I = mr2 /2. a) Use the Second Law of Newton with angular momentum. The axis of rotation coincides with the axes of the pulley. Evaluate the torques that act on the block b) Evaluate the angular momentum of the whole system c) Find the magnitude of the acceleration of the block in terms of μ, m, M, g, and θ.
5. A cord is wrapped around a pulley that is shaped like a disk of mass m
and radius r. The cord’s free end is connected to a block of mass M. The
block starts from rest and then slides down an incline that makes an angle θ
with the horizontal as shown in the figure. The coefficient of kinetic friction
between block and inclined plane is μ = 0.250. The moment of inertia of the
pulley is: I = mr2
/2.
a) Use the Second Law of Newton with
axes of the pulley. Evaluate the torques that act on the block
b) Evaluate the angular momentum of the whole system
c) Find the magnitude of the acceleration of the block in terms of μ, m, M, g, and θ.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
