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Mechanics question.

Hey :smile: I'm having a stab at this past exam question, which unfortunately there are no answers to.

1 A uniform solid ball rolls down a slope. If the ball has a diameter of 0.5 m
and a mass of 0.1 kg, find the following:
(a) The equation which describes the velocity of the ball at any time,
given that it starts from rest. Clearly state any assumptions you make.
[3 marks]
(b) If the slope has an incline of 300 to the horizontal, what is the speed of
the ball after it travels 3m? [1 mark]
(c) At this point, what is the angular momentum of the ball? [1 mark]
(d) If the coefficient of friction between the ball and the slope is 0.26, what
is the maximum angle of inclination the slope could have which still
allows the ball to roll? [5 marks]



I got v = 5.25 ms-1 for b?

Also I don't know what I'm supposed to put for c, seeing as r isn't given?

Thanks a lot for any help :smile:

Edit: Also, i'm not sure if D should read minimum angle or not? if it does I got 14.57 degrees...
Reply 1
Youneed to equate loss in pe to gain in translational and rotational ke.
Reply 2
teachercol
Youneed to equate loss in pe to gain in translational and rotational ke.

lolwut?
Reply 3
Have you done anything involving moment of inertia and rotational ke?
Reply 4
teachercol
Have you done anything involving moment of inertia and rotational ke?

Yes I have.

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