A uniform rod of mass M = 1.2 kg and length L = 0.80 m, lying on a frictionless horizontal plane, is free to pivot about a vertical axis through one end, as shown. The moment of inertia of the rod about this axis is given by 1/3(ML^2). If a force (F = 5.0 N, q = 40°) acts as shown, what is the resulting angular acceleration about the pivot point? K Pivot 33 rad/s² O 10 rad/s² 14 rad/s² 16 rad/s² O 12 rad/s² p q# 6 p. 242 chap 7

The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius ?h=0.156 m and mass 5.08 kg , and two thin crossed rods of mass 7.37 kg each. A farmer would like to replace his wheels with uniform disks ?d=0.0651 m thick, made out of a material with a density of 5530 kg per cubic meter. If the new wheel is to have the same moment of inertia about its center as the old wheel about its center, what should the radius of the disk be?

Suppose you have a long, thin rod of length 1.51m that is free to rotate about a fixed end.  If the rod's composition is uniform (which means it has the same mass density all along its length), and if the mass of the rod is 0.6kg, what is the rod's moment of inertia (or rotational inertia) in units of kg*m2?

Suppose you exert a tangential force of 450 N to the outer edge of a .5 m radius wooden wheel mounted on a frictionless axis at the center. The weight of the wheel is 45 kg. One can assume the wheel is a solid disk. The moment of inertia (I) for a solid disk rotating at the center is given by the formula : I= 1/2mass X (radius)^2 A) what torque is exerted on the wheel? B) how much angular acceleration the wheel will experience due to applied force ?

An old grindstone, used for sharpening tools, is a solid cylindrical wheel that can rotate about its central axle with negligible friction. The radius of the wheel is 0.330 m. A constant tangential force of 200 N applied to its edge causes the wheel to have an angular acceleration of 0.804 rad/s2. (a) What is the moment of inertia of the wheel (in kg · m2)? kg · m2 =   (b) What is the mass (in kg) of the wheel? kg=   (c) The wheel starts from rest and the tangential force remains constant over a time period of 4.50 s. What is the angular speed (in rad/s) of the wheel at the end of this time period? rad/s=

To develop muscle tone, a woman lifts a 3.70 kg mass held in her hand. She uses her biceps muscle to flex the lower arm through an angle of 60.0°. Ignore gravity. (a) What is the angular acceleration if the mass is 24.0 cm from the elbow joint, her forearm having a moment of inertia of 0.250 kg · m2, and the muscle force being 760 N at an effective perpendicular lever arm of 2.50 cm? (b) How much work does she do?

The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius r = 0.156 m and mass 4.32 kg, and two thin crossed rods of mass 7.80 kg each. A farmer would like to replace his wheels with uniform disks = 0.0525 m thick, made out of a material with a density of 5990 kg per cubic meter. If the new wheel is to have the same ta %3D moment of inertia about its center as the old wheel about its center, what should the radius of the disk be? = PA rd

You stand on a frictional platform that is rotating at 1.6 rev/s. Your arms are outstretched, and you hold a heavy weight in each hand. The moment of inertia of you, the extended weights, and the platform is 7.9 kg · m2. When you pull the weights in toward your body, the moment of inertia decreases to 3.7 kg · m2. (a) What is the resulting angular speed of the platform?(b) What is the change in kinetic energy of the system?(c) Where did this increase in energy come from? (Select all that apply.) -your internal energy -gravity -kinetic energy of the platform -mass of the weights -air resistance

A cord is wrapped around the rim of a wheel 0.300 m in radius, and a steady pull of 38.5 NN is exerted on the cord. The wheel is mounted on frictionless bearings on a horizontal shaft through its center. The moment of inertia of the wheel about this shaft is 5.35 kg⋅m2   Compute the angular acceleration of the wheel.

An old millstone, used for grinding grain in a gristmill, is a solid cylindrical wheel that can rotate about its central axle with negligible friction. The radius of the wheel is 0.330 m. A constant tangential force of 200 N applied to its edge causes the wheel to have an angular acceleration of 0.972 rad/s2. (a) What is the moment of inertia of the wheel (in kg · m2)?   (b) What is the mass (in kg) of the wheel?   (c) The wheel starts from rest and the tangential force remains constant over a time period of 4.50 s. What is the angular speed (in rad/s) of the wheel at the end of this time period?