A rock is tied to a string and spun in a circle of radius 1.3 m as shown in the

Question

A rock is tied to a string and spun in a circle of radius 1.3 m as shown in the figure below. The speed of the rock is 11 m/s.

(a) Draw a picture giving both a top view and a side view of the motion of the rock.

Score: 2 out of 2

Comment:

(b) What are all the forces acting on the rock? (Select all that apply.)

Draw a free-body diagram for the rock.

(c) What is the total force on the rock directed toward the center of its circular path? Express your answer in terms of the (unknown) tension T in the string. (Use the following as necessary:.)
F =

Tcos()

I cant get part D right please help me, show all the work. thank you

Explanation / Answer

b) forces acting on rock,

weight of the rock
tension from the string

3rd one ( lower left )

c) F = Tcos@

d) in vertical,

Tsin@ = mg ......... (i)

horizontally,

Tcos@ = F = mv^2 / r ......(ii)

(i) / (ii) ,

tan@ = rg / v^2 = (1.3 x 9.81) / 11^2

tan@ = 0.105

@ = 6.02 deg

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