PROBLEM 3.Rod XY and smooth surface O hold the 1600-N cylinder in equilibrium as shown. Find the force Q exerted by the rod and the normal force Nexerted by the smooth surface on the cylinder.Ignore the weight of the rodXY. SUMMARY OF ANSWERS Q N 25

A crate with dimensions l = 0.50 m and h = 0.75 m rests on a plane that is inclined by θ = 30◦ from thehorizontal. The crate is in equilibrium, but if the crate were too tall, it will fall over down the slope.Find the effective point of application of the normal force on the crate, i.e., where is the normal force actingon the crate, keeping the crate in equilibrium? Hint: choose the crate’s center of mass as the axis of rotation.

If the value of P in the above figure is 180-lb,determine the angle θ at which it must beinclined with the smooth plane to hold 300-lbbox in equilibrium.