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. 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
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A small marble (I = mr²) 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 R.
Figure 1 shows a diagram of the loop-the-loop.
ON
R
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.
Transcribed Image Text:A small marble (I = mr²) 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 R. Figure 1 shows a diagram of the loop-the-loop. ON R 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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