# Problem A 4.5 m long, non-uniform beam weighing 750 N

ProblemA 4.5 m long, non-uniform beam weighing 750 N, supported by two weightless cables, is at rest in horizontalposition, as shown. The cable on the right has a tension of T]=649.5190N.(a) The location of the center of gravity of the beam measured from its left end is(b) The tension in the other cable isA non-uniform, 2.0 m long ladder weighing 400 N leans against a smooth vertical wall (no friction). Theladder makes an angle of 30Â° with the vertical. The coefficient of friction at the ground is 0.3. A child withweight of 300 N can climb the ladder of 1.2 m before it starts to slide down.(a) The location of the center of gravity of the ladder is(b) The normal force originating from the smooth wall is3. Starting from rest, a 1.0 m diameter, uniform cylindrical wheel is rotating under a constant angularacceleration of 3.0 rad/s2.(a) The magnitude of the total acceleration of a point on the rim of the wheel at t = 4.0 s is(b) If the wheel has a mass of 40.0 kg, its angular momentum at t = 4.0 s is4. A 4.0 kg block, lying on a smooth table, is connected to a 5.0 kg block by means of a weightless cord passingover, without slipping, a cylindrical pulley of 2.0 kg mass and 10.0 cm radius placed at the edge of the table.The system is released from rest at t = 0.(a) In 4.0 s the 5.0 kg block will drop by(b) The tension in the part of the cord connected to the 4.0 kg block is5. A uniform, 1.0 m radius, 50.0 kg circular wheel spinning at 120 rev/min is subjected to a variable frictionalforce F(f) = 20.0[1 – (t/ X)2] applied tangentially at its rim.(a)If the wheel has to stop rotating exactly at the moment the force becomes zero, the value of A, must be(b) The number of revolutions done by the wheel before coming to rest is

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