A circular disk with a radius of 0.45 m is subject to 2 tangentially applied forces. The disc is fixed such that it will rotate about its center. Both forces produce a torque in the same direction. The mass of the disc is 0.59 kg. The moment of inertia of a disc is I MR? F1 = 2.3 N applied at the outer edge of the disc. F2 = 4.3 N applied at a distance of 0.21 from the center of the disc. What is the angular acceleration of the disc?

A. x x 4e a ñ I8 Paragraph Styles Dictate In a downtown office building, you notice each of the four sections of a rotating door has a mass of 85 kg. What is the width, in meters, of each section of the door if a force of 62 N applied to the outer edge of a section produces an angular acceleration of 0.440 rad/s2? 02 | - 三山告

Calculate the torque (in N · m) about the z-axis that is out of the page at the origin in the following figure, given that F1 = 6.0 N, F2 = 4.3 N, F3 = 6.0 N, F4 = 4.1 N. (Indicate the direction with the sign of your answer.)

A meterstick of negligible mass is pivoted at the 0.60 m mark with a 2.0 kg blue bag on one end and a 1.0 kg red bag on the other, at the 1.0 m mark. The stick is released from rest in a horizontal position. Find the magnitude of the net torque on the meterstick about the pivot point. Pick the value on the nearest whole number. O 10 N.m 16 N.m 8.0 N.m ○ 2.0 N.m

The wheel and axle have forces applies tangentially as shown in the figure. There is also a frictional torque of 0.02 Nxm on the wheel, once the wheel starts moving. The radius of the axel is 20 cm and the radius of the wheelis 60 cm and F1 = 2.4 N, F2 = 3.0 N and F3 = 1.2 N. a. Calculate the net torque on the moving wheel due to the applied forces F1 F2 and F3. b. What direction of rotation would the applied forces cause? Explain. c. What is the direction of frictional torque? Explain. d. Calculate the net torque on the wheel and axle.

The figure below is for a 50 kg-m2 object. o(radis) 60.0 40.0 20.0 -20.0 2.0 4.0 t(s) Find the net torque. Find the angular displacement at t = 2.25 s.

A ballerina spins initially at 1.56 rev/s when her arms are extended. She then draws in her arms to her body and her moment of inertia becomes 0.82 kg-m², and her angular speed increases to 4.43 rev/s. What was her initial moment of inertia? Give your answer in kg-m².

Two tangential forces F1 = 25 N and F2 = 10 N are applied to the rim of a solid cylinder of radius R = 0.2 m. The cylinder starts to rotate from rest, and reaches angular speed of 50 rpm in 5 seconds. Find the mass of the cylinder.

A disk of radius R and thickness t has a mass density that increases from the center outward, given by p = po (r/R), where r is the distance from the axis of the disk. What is the moment of inertia about the disk axis in terms of M and R? O MR 2MR O sMP 3MR 5 O 2MR 3 5MR 3

A massless string is wrapped around a solid 7.6-kg cylinder of diameter 24 cm that can rotate freely withoutfriction about an axis through its center. A stone is tied to the loose end of the string. When the stone isreleased from rest, the cylinder turns without the string slipping. If the cylinder has an angular velocity of26 rad/s after 1.4 s, what is the mass of the stone? Through how many revolutions does the cylinder turn inthis time?