Question in pic. Your physics instructor loves to put on physics magic shows for elementary school children. He is working on a new trick and has asked you, his star physics student, for assistance. The figure below shows theapparatus he is designing.Cup-SupportstickHinged endA small ball rests on a support so that the center of the ball is at the same height as the upper lip of a cup of negligible mass that is attached to a uniform board of length l = 1.11 m. When the support stick issnatched away, the ball will fall and the board will rotate around the hinged end. As the board hits the table, your instructor wants the ball to fall into the cup. The larger the angle 0, the more time the elementaryschool children will have to watch the progress of the trick. But if the angle is too large, the cup may not pull ahead of the ball. For example, in the limiting case of 90°, the board would not fall at all!(a) Your instructor wishes to know the minimum angle e (in degrees) at which the support would fail to immediately fall out from under the ball.(b) For that angle, if you were to mistakenly tell your instructor that the trick would succeed, at what position r. along the board would he mount the cup? (Give your answer, in m, measured from the hingedend of the board.)m

Given, Length of the board, l = 1.11 m Concept: We know the torque is defined as from the…

Answered: Cup - Support stick Hinged end

Science

Physics

Cup - Support stick Hinged end

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 76P

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Question in pic.

Your physics instructor loves to put on physics magic shows for elementary school children. He is working on a new trick and has asked you, his star physics student, for assistance. The figure below shows the
apparatus he is designing.
Cup
-Support
stick
Hinged end
A small ball rests on a support so that the center of the ball is at the same height as the upper lip of a cup of negligible mass that is attached to a uniform board of length l = 1.11 m. When the support stick is
snatched away, the ball will fall and the board will rotate around the hinged end. As the board hits the table, your instructor wants the ball to fall into the cup. The larger the angle 0, the more time the elementary
school children will have to watch the progress of the trick. But if the angle is too large, the cup may not pull ahead of the ball. For example, in the limiting case of 90°, the board would not fall at all!
(a) Your instructor wishes to know the minimum angle e (in degrees) at which the support would fail to immediately fall out from under the ball.
(b) For that angle, if you were to mistakenly tell your instructor that the trick would succeed, at what position r. along the board would he mount the cup? (Give your answer, in m, measured from the hinged
end of the board.)
m

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