EASY
12th Maharashtra Board
IMPORTANT
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Why are curved roads banked?

Important Questions on Rotational Dynamics

EASY
12th Maharashtra Board
IMPORTANT
Do we need a banked road for a two-wheeler? Explain.
EASY
12th Maharashtra Board
IMPORTANT
On what factors does the frequency of a conical pendulum depend? Is it independent of some factors? 
EASY
12th Maharashtra Board
IMPORTANT
Why is it useful to define radius of gyration?
EASY
12th Maharashtra Board
IMPORTANT
A uniform disc and a hollow right circular cone have the same formula for their M.I., when rotating about their central axes. Why is it so? 
EASY
12th Maharashtra Board
IMPORTANT
While driving along an unbanked circular road, a two-wheeler rider has to lean with the vertical. Why is it so? With what angle the rider has to lean? Derive the relevant expression. Why such a leaning is not necessary for a four wheeler? 
 
EASY
12th Maharashtra Board
IMPORTANT
Using the energy conservation, derive the expressions for the minimum speeds at different locations along a vertical circular motion controlled by gravity. Is zero speed possible at the uppermost point? Under what condition/s? Also prove that the difference between the extreme tensions (or normal forces) depends only upon the weight of the object. 
 
EASY
12th Maharashtra Board
IMPORTANT

Discuss the necessity of radius of gyration. Define it. On what factors does it depend and it does not depend? Can you locate some similarity between the centre of mass and radius of gyration? 

What can you infer a uniform ring and a uniform disc have the same radius of gyration?

EASY
12th Maharashtra Board
IMPORTANT
State the conditions under which the theorems of parallel a and perpendicular axes are applicable.  State the respective mathematical expressions.