A mass m = 8.5 kg is attached to the lower end ofa massless string of length L =

Question

A mass m = 8.5 kg is attached to the lower end ofa massless string of length L = 87.0 cm. The upper end of thestring is held fixed. Suppose that the mass moves in a circle atconstant speed, and that the string makes an angle theta = 26°with the vertical, as shown in the figure. a. How long does it take the mass to make onecomplete revolution? b. What is the tension inthe string?

A mass m = 8.5 kg is attached to the lower end ofa massless string of length L = 87.0 cm. The upper end of thestring is held fixed. Suppose that the mass moves in a circle atconstant speed, and that the string makes an angle theta = 26with the vertical, as shown in the figure. a. How long does it take the mass to make onecomplete revolution? b. What is the tension inthe string?

Explanation / Answer

radius of the circle=87*sin26=38.14 cm T=tension in the string v=tangential velocity T*cos26=8.5*g T=92.68 N (8.5*v2)/r=T*sin26 v=1.35 m/s circumference of the circle=2**r=2*3.14*0.3814=2.395 to complete one revolution time taken=2.395/1.35=1.7742 s

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