Question
Question: Figure shows a smooth inclined plane of inclination q fixed in a car. A sphere is set in pure rollin...
Figure shows a smooth inclined plane of inclination q fixed in a car. A sphere is set in pure rolling on the incline. For what value of 'a' (the acceleration of car in horizontal direction) the sphere will continue pure rolling ?
A
gcosq
B
g sin q
C
g cot q
D
g tan q
Answer
g tan q
Explanation
Solution
The sphere will continue pure rolling if
mg cos q = mg sin q
or a = g tan q