A solid, uniform disk and solid uniform sphere, each having a radius 0.250 m and mass 50.0 kg rolls down a ramp of length 5.00 m.The ramp makes an angle of 100 with the horizontal. They both start from rest from the top of the ramp.
Find (a) the speed of each object’s center of mass when it reaches the bottom of the ramp.
(b) Which has the greatest angular speed at the bottom of the ramp?

Question

A solid, uniform disk and solid uniform sphere, each having a radius 0.250 m and mass 50.0 kg rolls down a ramp of length 5.00 m.The ramp makes an angle of 100 with the horizontal. They both start from rest from the top of the ramp.
Find (a) the speed of each object’s center of mass when it reaches the bottom of the ramp.
(b) Which has the greatest angular speed at the bottom of the ramp?

anonymous · Answer

velocity of com for sphere will be 8.3028 and for disc it will be 8.0212.....
u should use conservation of mechanical energy for the first part decrease in potential energy of the system is equal to increase in ke of the system...