Homework Help: Mechanics for A-level

Posted by Bob on Thursday, April 5, 2012 at 6:17am.

An object of mass 50kg rests on a rough plane inclined at an angle z to the horizontal. It is supported in this position by a light string parallel to the plane which is attached to the object and fixed to a point at the top of the plane. The string has a breaking strain of 200N and the co-efficient of friction between the object and the plane is 0.2, Find the largest value of angle z which would allow the string to remain intact

Mechanics for A-level - Anonymous, Thursday, April 5, 2012 at 8:22am
as you increase the angle, the static friction increases up to a maximum value of mu*N.

you need to find the value of z for which the max force upward = force downward:

Tmax + fmax = mg sinz

200 + mu*mgcosz = mg sinz

200 + 0.2*50*9.8cosz = 50*9.8 sinz

z = 34.9 deg

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