A ball rolls down a long ramp without slipping, and then enters a Loop-D-Loop. (a) Choose the following values. None of them can be 0. i. The mass of the ball ii. The radius of the ball iii. The radius of the Loop-D-Loop (-) Draw two photos – one at the top of the ramp, and one at the top of the Loop-D-Loop. (c) Set origin and axes. (d) Suppose at the top of the Loop-D-Loop the marble feels only the weight force. Draw the free-body diagram at the top of the Loop-D-Loop. (e) Calculate the weight force, and use it in the equation for centripetal acceleration to find the linear velocity of the ball at the top of the Loop-D-Loop. (f) Calculate the angular velocity of the ball at the top of the Loop-D-Loop. (g) Use Conservation of energy to determine the initial height of the ball. Remember, there's no work out due to friction, and the ball starts at rest.

A ball rolls down a long ramp without slipping, and then enters a Loop-D-Loop. (a) Choose the following values. None of them can be 0. i. The mass of the ball ii. The radius of the ball iii. The radius of the Loop-D-Loop (-) Draw two photos – one at the top of the ramp, and one at the top of the Loop-D-Loop. (c) Set origin and axes. (d) Suppose at the top of the Loop-D-Loop the marble feels only the weight force. Draw the free-body diagram at the top of the Loop-D-Loop. (e) Calculate the weight force, and use it in the equation for centripetal acceleration to find the linear velocity of the ball at the top of the Loop-D-Loop. (f) Calculate the angular velocity of the ball at the top of the Loop-D-Loop. (g) Use Conservation of energy to determine the initial height of the ball. Remember, there's no work out due to friction, and the ball starts at rest.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

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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Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

100%

A ball rolls down a long ramp without slipping, and then enters a Loop-D-Loop.
(a) Choose the following values. None of them can be 0.
i. The mass of the ball
ii. The radius of the ball
iii. The radius of the Loop-D-Loop
(-) Draw two photos – one at the top of the ramp, and one at the top of the Loop-D-Loop.
(c) Set origin and axes.
(d) Suppose at the top of the Loop-D-Loop the marble feels only the weight force. Draw the
free-body diagram at the top of the Loop-D-Loop.
(e) Calculate the weight force, and use it in the equation for centripetal acceleration to find the
linear velocity of the ball at the top of the Loop-D-Loop.
(f) Calculate the angular velocity of the ball at the top of the Loop-D-Loop.
(g) Use Conservation of energy to determine the initial height of the ball. Remember, there's no
work out due to friction, and the ball starts at rest.

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