6. A ball with a mass of 4.0 kg is attached to the end of a string that is 85 cm

Question

6. A ball with a mass of 4.0 kg is attached to the end of a string that is 85 cm long. The mass moves in a horizontal circle with the string making a constant angle with the vertical direction. Assume the mass of the sting is negligible

a)     If the string makes an angle of 20 degrees with the vertical axis find the speed of the ball.

b)    If the maximum tension the string can sustain is 60 N, what is the maximum angle the string can make with the vertical axis.

c)     If we increase the length of the string, would our answers in “a” and “b” change?   Support your answers.

Explanation / Answer

Tcos@=mg Tsin@=mv*v/r,r=lsin@=0.3 tan@=v*v/rg v=1.044m/s max angle=cos^-1(mg/T)=48.2 if we increas length velocity would increase as r increases and theta wouldnt change as independent of r

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