question archive Two blocks of mass m rest on a ramp set an angle theta with respect to the horizontal

Two blocks of mass m rest on a ramp set an angle theta with respect to the horizontal

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Two blocks of mass m rest on a ramp set an angle theta with respect to the horizontal. the maximum value of the coefficient of static friction between the two masses is u1. (assume the coefficient of kinetic friction is the same value) The coefficient of static friction between the mass and the ramp is u2.

(a) Initially the system is at rest. You slowly increase the inclination of the ramp. At an angle theta, the top block starts sliding on the bottom block (which doesn't slide). Show that this happens when

(b) You continue to increase the inclination. The top block is still sliding, but has not fallen off the bottom block. At an angle theta2, the bottom block starts sliding on the ramp. Show that this occurs when tan(theta2) = 2u2-u1

pur-new-sol

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