System of Particles and Rotational Motion - Result Question 18
18. Two racing cars of masses $m$ and $4 m$ are moving in circles of radii $r$ and $2 r$ respectively. If their speeds are such that each makes a complete circle in the same time, then the ratio of the angular speeds of the first to the second car is
(a) $8: 1$
(b) $4: 1$
(c) $2: 1$
(d) $1: 1$
[1995]
Topic 3: Torque, Couple and Angular Momentum
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Answer:
Correct Answer: 18. (d)
Solution:
- (d) We know that both the cars take the same time to complete the circle, therefore ratio of angular speeds of the cars will be $1: 1$.
