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A small marble (I = 25mr2) of radius r and mass m rolls without slipping down a slope that is a connected to a loop-the-loop of radius R. The marble is released from a height of 29 R. Figure 1 shows a diagram of the loop-the-loop. Figure 1: Diagram of the loop-the-loop. The top of the loop is marked A. i) In terms of the radius of the loop-the-loop R and the acceleration due to gravity g, calculate the velocity of the marble’s centre of mass at the top (A in Figure 1) of the loop-the-loop. ii) In terms of the mass of the marble m and the acceleration due to gravity g, calculate the normal force exerted on the marble at the top (A in Figure 1) of the loop-the-loop

A small marble (I = 25mr2) of radius r and mass m rolls without slipping down a slope that is a connected to a loop-the-loop of radius R. The marble is released from a height of 29 R. Figure 1 shows a diagram of the loop-the-loop. Figure 1: Diagram of the loop-the-loop. The top of the loop is marked A. i) In terms of the radius of the loop-the-loop R and the acceleration due to gravity g, calculate the velocity of the marble’s centre of mass at the top (A in Figure 1) of the loop-the-loop. ii) In terms of the mass of the marble m and the acceleration due to gravity g, calculate the normal force exerted on the marble at the top (A in Figure 1) of the loop-the-loop

College Physics
College Physics
1st Edition
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:Paul Peter Urone, Roger Hinrichs
Chapter2: Kinematics
Section: Chapter Questions
Problem 19CQ: What is the last thing you should do when solving a problem? Explain.
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a)  A small marble (I = 25mr2) of radius r and mass m rolls without slipping down a slope that is a connected to a loop-the-loop of radius R. The marble is released from a height of 29 R. Figure 1 shows a diagram of the loop-the-loop.

Figure 1: Diagram of the loop-the-loop. The top of the loop is marked A.

i)  In terms of the radius of the loop-the-loop R and the acceleration due to gravity g, calculate the velocity of the marble’s centre of mass at the top (A in Figure 1) of the loop-the-loop.

ii)  In terms of the mass of the marble m and the acceleration due to gravity g, calculate the normal force exerted on the marble at the top (A in Figure 1) of the loop-the-loop

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