SATHEE: Rotational Motion Question 90

Rotational Motion Question 90

Question: Three objects, A : (a solid sphere), B : (a thin circular disk) and C : (a circular ring), each have the same mass M and radius R. They all spin with the same angular speed $ω$ about their own symmetry axes. The amounts of work (W) required to bring them to rest, would satisfy the relation

Options:

A) $W_{B} W_{A} W_{C}$

B) $W_{A} W_{B} W_{C}$

C) $W_{C} W_{B} W_{A}$

D) $W_{A} W_{C} W_{B}$

Show Answer

Answer:

Correct Answer: C

Solution:

[c] Work done required to bring them rest

$Δ W= Δ K E$

$Δ W = \frac{1}{2} | ω^{2}$

$Δ W \propto l$ for same $ω$

$W_{A} : W_{B} : W_{C} = \frac{2}{5} M R^{2} : \frac{1}{2} M R^{2} :M R^{2}$

$= \frac{2}{5} : \frac{1}{2} : 1$

$= 4 : 5 : 10$

$\Rightarrow W_{C} W_{B} W_{A}$

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Rotational Motion Question 90

Question: Three objects, A : (a solid sphere), B : (a thin circular disk) and C : (a circular ring), each have the same mass M and radius R. They all spin with the same angular speed ω about their own symmetry axes. The amounts of work (W) required to bring them to rest, would satisfy the relation

Options:

Answer:

Solution:

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