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
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.
Hello!
I have attached the quastion in the attached document, I would need to resolve D.
Question d: What is the minimum length of the rope required to ensure that the mass would have made it all the way to the top of the semicircle.
For your reference, answers for part A, v= sqr root of (4rg); T=3mg
for part B, v= sqr root of (2gr(1-Cos Theta) and for part C, the answer is Theta = 48.18 degrees.
Thank you for your help
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