A rectangular plate has width and breadth of 400 cm and 500 cm, respectively. An applied torque of 300 N.m gives the plate an angular acceleration of 15 rad/s² about a perpendicular axis through the centre of the plate

A diver performs a flip in the air. The radius of gyration is 0.43 when the diver initially leave the board and the diver is rotating at an angular velocity of 6.3 rad/sec. What is the linear velocity of the head when they decrease their radius of gyration to 0.24. The distance from the head to the center of gravity of the individual is 0.3 meters?

An 80 cm long thin rod whose axis of rotation is in the center has a mass of 0.142 kg. A 2.5 N force is applied at one end perpendicularly, while a second 1.5 N force is applied 10 cm from the opposite end. Both forces are applied in the same direction. (a) Find the angular acceleration. (b) Determine the force needed for the rod to be in equilibrium, if the third force is applied at a 300 angle halfway between the 2.5 N and the axis of rotation. (72.6; -5.5)

When you hold an ball by only your forearm, the main lifting muscle in your arm is the biceps. Suppose the mass of a forearm with hand is 1.80 kg. The biceps is connected to the forearm a distance of 2.50 cm from the elbow, and it holds a 44.5 N (about 10 lbs) ball at the end of the forearm at distance of 35.0 cm from the elbow. What is the magnitude of the torque about the elbow by the ball, in N·m? Use g = 10.0 m/s2. Your answer needs to have 3 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.

When opening a door, you push on it perpendicularly with a force of 62.5 N at a distance of 0.725 m from the hinges.What torque, in newton meters, are you exerting relative to the hinges?

An object that is initially at rest begins to rotate under a constant angular acceleration of 2.16 rad/s2. How long does it take the object to undergo an angular displacement of 217 rad?

Two uniform solid spheres have the same mass of 2.85 kg, but one has a radius of 0.236 m while the other has a radius of 0.894 m. Each can rotate about an axis through its center. (a) What is the magnitude t of the torque required to bring the smaller sphere from rest to an angular speed of 317 rad/s in 15.5 s? N. m (b) What is the magnitude F of the force that must be applied tangentially at the sphere's equator to provide that torque? N (c) What is the corresponding value of t for the larger sphere? N. m

A 24.0 N weight is held in the outstretched hand of a person with a shoulder-to-elbow length of 33.5 cm and an elbow-to-wrist length of 23.5 cm. The center of the weight is 8.0 cm from the person's wrist. Shoulder Elbow Weight Wrist. Determine the magnitude of the torque about the elbow produced by the weight. Determine the magnitude of the torque about the shoulder produced by the weight.

A 3.0-m rod is pivoted about its left end. A force of 6.0 N is applied perpendicular to the rod at a distance of 1.2 m from the pivot causing a counter clockwise torque, and a force of 5.2 N is applied at the end of the rod 3.0 m from the pivot. The 5.2 N is at an angle of 30° to the rod and causes a clockwise torque. What is the net torque about the pivot? A 15 N.m B 0 N.m -6.3 N.m -0.6 Nxm D

A playground merry-go-round, made in the shape of a solid disk, has a diameter of 2.50 m and a mass of 350.0 kg. Two children, each of mass 30.0 kg, sit on opposite sides at the edge of the platform. Approximate the children as point masses. What torque is required to bring the merry-go-round from rest to 28.0 rev/min in 23.0 s?