Questions
A solid sphere and circular disc of same mass and radius are allowed to roll down an inclined plane from the same height without slipping. Find the ratio of times taken by these two to come to the bottom of incline:
detailed solution
Correct option is A
Acceleration of a rolling body on inclined plane is a=gsinθ1+k2R2 For two bodies time of rolling same length is t1t2=a2a1=1+k12R21+k22R2For a solid sphere k12=25R2And for disc k22=12R2⇒t1t2=1+251+12=1415Talk to our academic expert!
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A homogeneous solid cylindrical roller of radius R and mass M is pulled on a cricket pitch by a horizontal force. Assuming rolling without slipping, angular acceleration of the cylinder is
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