2. A mass m attached to a light rope swings from rest as shown (A). Once reaching its lowest point, the rope "snaps" and the mass is released and is free to move up the semicircular, frictionless, surface. Write your answers in terms of r, g, and 0 where applicable. Find 2r a. The speed of the mass and the tension in the rope just before as it snaps After being released, the mass moves along the ramp as shown (B) b. The speed of the mass as a function of 0 that describes the speed of the mass as it moves along the semicircular path. c. At what angle (numeric value) will the mass "fall off' the semicircle? d. What is the minimum length of rope all the way to the top of the semicircle? to ensure that the mass would have made it
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Momentum & Energy
A mass m attached to a light rope swings from rest as shown (image attached). Once reaching its lowest point, the rope "snaps" and the mass is released and is free to move up the semicisrcular, frictionless, surface. Write your answers in terms of r, g and Theta (greek letter, angle) where applicable.
Find:
A) The speed of the mass and the tension in the rope just before as it snaps after being released, the mass moves along the ramp as shown (part B of attached image).
B) The speed of the mass as a function of Theta (Angle) that describes the speed of the mass as it moves along the semicircular path
C) At what angle (numeric value) will the mass "fall off" the smicircle?
D) What is the minimum length of rope required to ensure that the mass would have made it all the way to the top of the semicircle?
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