You are given two hoops (I = mR²), which are (1) brass and (2) wood, and two cylinders (I = mR²), which are (3) brass and (4) wood; each has radius R. If all are released from the same starting line at the same time, the one(s) that reach the bottom first are A) 1 and 2 B) 3 and 4 C) 1, 2, 3, and 4 D) 1 E) 3

Question

Quizplus · Accepted Answer

The time taken for an object to reach the bottom of a ramp is determined by the radius and height of the ramp. The material of the ramp does not affect the time taken. Therefore, both hoops (1 and 2) and both cylinders (3 and 4) will have the same time of descent. However, the time taken will be less for smaller radius, and therefore the cylinders with radius R will reach the bottom before the hoops with the same radius R. Hence, the correct answer is B - cylinders made of both brass and wood (3 and 4) will reach the bottom first.

You Are Given Two Hoops (I = MR2), Which

You Are Given Two Hoops (I = MR²), Which