We hang a body on a 2.0 m long string and lift it so that the string forms an angle of 40° with the vertical axis, and lower. At what angular velocity does the system move at the moment it goes through an equilibrium position?

A uniform cylinder of radius 10 cm and mass 20 kg is mounted so as to rotate freely about a horizontal axis that is parallel to and 5.0 cm from the central longitudinal axis of the cylinder. (a) What is the rotational inertia of the cylinder about the axis of rotation? (b) If the cylinder is released from rest with its central longitudinal axis at the same height as the axis about which the cylinder rotates, what is the angular speed of the cylinder as it passes through its lowest position?

A 39.8 kg child stands on a spinning platform that has been well maintained (neglect friction in the axle). Initially the platform is spinning at 4.9 rev/s while the child's arms are extended outward (holding some weights). The child then pulls the weights back to close to their body. What is the final angular speed in rev/s of the platform? Assume that the child can be considered a cylinder with a diameter of 1.2 m, spinning along its center axis and the weights are point masses (2 kg each) that are initially 1.1 m away from the center of the child. Assume that the weights are at the outer edge of the "cylinder" (i.e., the child) in the final moment.

Calculate the rotational inertia of a meter stick, with mass 0.67 kg, about an axis perpendicular to the stick and located at the 39 cm mark. (Treat the stick as a thin rod.) X kg · m2

PLEASE DRAW AN FBD AND ANSWER IT ON A PAPER   The figure shown is on a fixed frictionless axle. It has a moment of inertia of I = 50 kg-m2 . The forces acting on the object are F1 = 100 N, F2 = 200 N, and F3 = 250 N acting at different radii R1 =60 cm, R2 = 42 cm, and R3 = 28 cm. Determine the angular acceleration of the object.

A wheel accelerates with a constant angular acceleration of 2 rad/s2. If the initial angular velocity is 4.0 rad/s, (a) what is the angular velocity at t = 5.0 s? (b) What is the angle the wheel rotates through in 5.0 s? (c) If the torque added to the wheel is 15 Nm, what is the moment of inertia of this wheel?

Because the rotational inertia is greater, it is the hardest in springboard diving to perform a forward somersault in     the pike position (bending at the waist but not the knees).            the straight position (no bending at knees or waist).            the tuck position (bending at both the waist and knees).

A way to test the tensile strength of a wire is to place a mass at the end of it and spin the mass with uniform circular motion. The speed at which the wire breaks is a measure of its strength. The maximum frequency of rotation before a certain wire breaks is 35.5 Hz. The wire is 50.5 cm long and has a mass of 0.656 kg. (a) Determine the speed with which the mass moves. (b) Calculate the centripetal force acting on the wire

A uniform rod is set up so that it can rotate about an axis at perpendicular to one of its ends. The length and mass of the rod are 0.765 m and 1.27 kg respectively. A force of constant magnitude ?F acts on the rod at the end opposite the rotation axis. The direction of the force is perpendicular to both the rod's length and the rotation axis. Calculate the value of ?F that will accelerate the rod from rest to an angular speed of 6.21 rad/s in 9.91 s

When a 3 kg mass is hung on a vertical spring, it extends the spring by 3.00 m. What is the angular velocity ω (in rads/s) of the mass when it oscillates back and forth on this spring?