A body of mass m is attached to one end of a string of length R. The other end of the string is fixed on a inclined surface making an angle ø with the surface as shown in the figure. The body has a speed vp at the bottom of the circle (Point A). The body undergoes circular motion. There is a coefficient of sliding friction u between the body and the plane. The downward acceleration of gravity is g. Express all answers in terms of m , ø, w , g,µand R as needed. For multiplying quantities, use *

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Chapter1: Units, Trigonometry. And Vectors
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What is the tension in the string when it reaches point B.

A body of massm is attached to one end of a string of length R. The other end of the string is fixed on a inclined surface making an angle ø
with the surface as shown in the figure. The body has a speed p at the bottom of the circle (Point A). The body undergoes circular motion.
There is a coefficient of sliding friction u between the body and the plane. The downward acceleration of gravity is g.
Express all answers in terms of m , ø, w , g , u and R as needed. For multiplying quantities, use *
R.
B
18
A
R
object at bottom of circle
(side view)
object at top of circle
(side view)
Transcribed Image Text:A body of massm is attached to one end of a string of length R. The other end of the string is fixed on a inclined surface making an angle ø with the surface as shown in the figure. The body has a speed p at the bottom of the circle (Point A). The body undergoes circular motion. There is a coefficient of sliding friction u between the body and the plane. The downward acceleration of gravity is g. Express all answers in terms of m , ø, w , g , u and R as needed. For multiplying quantities, use * R. B 18 A R object at bottom of circle (side view) object at top of circle (side view)
Part a How much work does the friction force do on the body as it moves from the bottom of the circle (point A) to the top of the
circle (point B)?
Write your answer using some or all of the following: phi for ø, v_0 for 0, phi for ø, mu for u and cos() for cosine. [Notice, In case of math
umg cos(ø)
R
expression you need to be precise. For example, if your answer is
', you need to write it as mu*m*g*cos(phi)/R.]
Transcribed Image Text:Part a How much work does the friction force do on the body as it moves from the bottom of the circle (point A) to the top of the circle (point B)? Write your answer using some or all of the following: phi for ø, v_0 for 0, phi for ø, mu for u and cos() for cosine. [Notice, In case of math umg cos(ø) R expression you need to be precise. For example, if your answer is ', you need to write it as mu*m*g*cos(phi)/R.]
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