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.

University Physics Volume 1
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Chapter10: Fixed-axis Rotation
Section: Chapter Questions
Problem 36P: The angular position of a rod varies as 20.0t2radians from time t=0 . The rod has two beads on it as...
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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.
Transcribed Image Text: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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