A uniform 4.7-kg cylinder can rotate about an axis through its center at O. The forces applied are: F₁ = 3.7 N, F₂ = 3.4 N, F3 = 3.9 N, and F4 = 4.8 N. Also, R₁ = 12.0 cm and R3 = 7.0 cm. Find the magnitude and direction (+: counterclockwise; - clockwise) of the angular acceleration of the cylinder. FI F4 0 RI R3 F3 F2 M

A disk with moment of inertia 7.3 kg m^2 spins at 19 rad/s about its center axis. If a brake exerts a perpendicular force of 80. N at 0.12 m from the axis, what is the magnitude of the angular acceleration?

A wheel rotates with a constant angular acceleration of 3.50 rad/s^2. If the angular speed of the wheel is 2.00 rad/s at ti = 0, a) through what angle does the wheel rotate in 2.00 s?b) What is the angular speed at t = 2.00s?Answer: a) 630 degrees b) 9.00 rad/s

The rectangular block shown rotates about the diagonal OA with a constant angular velocity of 5.8 rad/s. Knowing that the rotation is counterclockwise as viewed from A, determine the velocity and acceleration of point B at the instant shown. 5 in. 12 in. 15.6 in. 15.6 in. The velocity of corner Bis -( 32.123 in./s)i + ( 10.295 in./s)j - ( 13.38 in./s)k. The acceleration of corner Bis -(186.3134| in./s²)i – (| 31.0764 in. in./s²)j + o in./s2)k.

Do the Paramecium show any signs of being electrically charged? If so, do they carry a positive or a negative charge? Explain.

Do b,c,d

In the figure here, a cylinder having a mass of 1.5 kg can rotate about its central axis through point O. Forces are applied as shown: F₁ = 3.1 N, F2 = 9.3 N, F3 = 6.0 N, and F4 = 9.1 N. Also, r = 7.0 cm and R = 17 cm. Taking the clockwise direction to be negative, find the angular acceleration of the cylinder. (During the rotation, the forces maintain their same angles relative to the cylinder.) Number FA Rotation axis F₁ Unit 7

A certain wheel has a rotational inertia of 4.9 kg.m² . As it turns through 2.8 revolutions, its angular velocity increases from 7.9 rad/s to 8.1 rad/s. If the net torque is constant its value (N.m) is:

A yo‑yo with a mass of 0.0850 kg and a rolling radius of r=1.60 cm rolls down a string with a linear acceleration of 5.20 m/s2. Calculate the tension magnitude ? in the string and the angular acceleration magnitude ? of the yo‑yo.

A uniform 3.7-kg cylinder can rotate about an axis through its center at O. The forces applied are: F1 = 4.5 N, F2 = 7.1 N, F3 = 5.8 N, and F4 = 3.8 N. Also, R1 = 11.1 cm and R3 = 6.2 cm. Find the magnitude and direction (+: counterclockwise; -: clockwise) of the angular acceleration of the cylinder.