A uniform thin rod of mass M = 3.47 kg pivots about an axis through its center and perpendicular to its length. Two small bodies, each of mass m = 0.223 kg, are attached to the ends of the rod. What must the length L of the rod be so that the moment of inertia of the three-body system with respect to the described axis is I = 0.841 kg.m²? m L = --C L m m

Two masses are connected by a light string that runs over a frictionless pulley as shown. What is the acceleration of the system when the masses are released and allowed to move?

6.) A box weighing 77.0 N rests on a table. A rope tied to the box runs vertically upward over a pulley and a weight is hung from the other end. (use Figure below) a.) Determine the force that the table exerts on the box if the weight hanging on the other side of the pulley weighs 30.0 N. Express your answer to three significant figures and include the appropriate units. FBT1=___________ ___________   b.) Determine the force that the table exerts on the box if the weight hanging on the other side of the pulley weighs 60.0 N. Express your answer to three significant figures and include the appropriate units. FBT2=_______________ ______________   c.) Determine the force that the table exerts on the box if the weight hanging on the other side of the pulley weighs 90.0 N. Express your answer to three significant figures and include the appropriate units. FBT3= ______________ ______________

An object of mass 20 kg is released from rest 1000 m above the ground and allowed to fall under the influence of gravity Assuming the force due to air resistance is proportional to the velocity of the object with proportionality constant b-50 N-secim determine the equation of motion of the object When will the object strike the ground? Assume that the acceleration due to gravity is 981 m/sec and let xit) represent the distance the defect has fallen in 1 seconds Determine the equation of motion of the object