PROBLEM 1-A uniform beam (uniform rod) is being used to support a sign: Suddenly, thefama horizontal support cable snaps, allowing the beam to rotate about the point making contact with the wall. The beam and the sign both weight 200 N. The beam is 3.00 m long. Find the angular acceleration of the beam at the moment the cable snaps. 30.0°

Suppose a yo-yo has a center shaft that has a 0.290 cm radius and that its string is being pulled. (a) If the string is stationary and the yo-yo accelerates away from it at a rate of 1.70 m/s?, what is the angular acceleration of the yo-yo in rad/s?? |rad/s² (b) What is the angular velocity in rad/s after 0.750 s if it starts from rest? rad/s (c) The outside radius of the yo-yo is 3.60 cm. What is the tangential acceleration in m/s? of a point on its edge? |m/s²

Hi please help:  A 80-N plank is free to rotate around point P (see figure). Find the magnitude and direction ("+" for CCW or "-" for CW) of the torque due to the weight of the plank, and the forces F1= 120N and F2 = 160N.

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1.0m 3.0m 0.5m mi m2 m, PA N, 5. The drawing above shows two objects on a board supported at two locations. The m = 40 kg (centered over P), m;=20 kg and m3=10 kg. b. Determine the magnitude of the torque exerted about point P by .. (don't forget to convert masses to forces.) i. mi ii. m2 ii. m3

Two forces (FA = 34.5 N and FB = 23.3 N) are applied to a meter stick (L = 1.00 m) which can rotate about its left end. Determine the net torque done by both forces. Axis FB 730

A toy Ferris wheel that is at rest has a radius of 20.0 cm. A perpendicular force of 1.5 N is applied to the outer most part of the Ferris wheel. The toy Ferris when has a rotational inertia of 0.050 kg m2 . a) What is net Torque applied to the Ferris wheel? b) What is the angular acceleration of the Ferris wheel? k) If the Ferris wheel maintains this angular acceleration for 3.0 seconds, what will its final angular velocity be? d) What will be its rotational Kinetic Energy after 3.0 seconds?

A dentist's drill starts from rest. After 3.40 s of constant angular acceleration it turns at a rate of 2.30 x 10 rev/min. (a) Find the drill's angular acceleration. rad/s2 (b) Determine the angle (in radians) through which the drill rotates during this period. rad

A counterweight of mass m = 3.60 kg is attached to a light cord that is wound around a pulley as shown in the figure below. The pulley is a thin hoop of radius R = 7.00 cm and mass M = 3.00 kg. The spokes have negligible mass. (a) What is the net torque on the system about the axle of the pulley? V N.m to the right along the axis of rotation v magnitude 2.4695 direction (b) When the counterweight has a speed v, the pulley has an angular speed w = v/R. Determine the magnitude of the total angular momentum of the system about the axle of the pulley. (3.705 Note that your numerical answer is multiplied by the symbol v in the answer box. kg • m)v (c) Using your result from (b) and 7 = L/dt, calculate the acceleration of the counterweight. (Enter the magnitude of the acceleration.) 6.925 The expression for the angular momentum in part (b) has a factor of v. How do you determine dL/dt, from this expression? m/s2

A horizontal, uniform, 8.00-kg, stationary, solid disk with a radius of 80.0 cm is pivoted at its center such that the plane of the disk is parallel to level ground. A boy applies a tangential force of 40.0 N on the disk by pulling on a rope that is inserted in a side groove of the disk. Through what total angle will the disk rotate in 5.00 s?   a. 124 rad   b. 156 rad   c. 108 rad   d. 140 rad   e. 92.0 rad