3.40 m long , 635 kg steel beam extends horizontally from the point where it has been bolted to the framework of a new building under construction. A 87 kg construction worker stands at the far end of the beam. What is the magnitude of the torque (in N m) about the point where the beam is bolted in place? Assume that the local acceleration due to gravity is -9.80 m/s2.

A wind turbine is initially spinning at a constant angular speed. As the wind's strength gradually increases, the turbine experiences a constant angular acceleration 0.149 rad/s2. After making 2870 revolutions, its angular speed is 151 rad/s. (a) What is the initial angular velocity of the turbine? (b) How much time elapses while the turbine is speeding up?(a) Number  Units                                                            (b) Number  Units

Two masses m1 3.2 kg and m2 1.6 kg hang from a pulley as shown in the figure. The moment of inertia through the axis of rotation passing through the center of the pulley is I = 2 kg m². The ropes holding the masses are attached to opposite sides of the pulley at a radius R = 0.5 m from the center of the pulley. R T1 T2 mị m2 Find the magnitude of the angular acceleration a of the pulley system. Pick the correct answer 4.9 rad/s? ,2 7.4 rad/s? 2.5 rad/s? -7.4 rad/s? 9.8 rad/s? 15

A small pine tree has a mass of 19 kg. Its center of mass is located at 0.87 m from the ground. Its trunk is sawed though at ground level, causing the tree to fall, with the severed trunk acting as the pivot point. At the instant the falling tree makes a 16° angle with the vertical, the angular acceleration of the tree is 2.6 rad/s. What is the moment of inertia of the tree?

A cylinder 32.6 cm in diameter is at rest initially. It is then given an angular acceleration of 14.5 rad/s^2. Find the tangential speed of the outer edge of the cylinder at 6.08 s. Give your answer in m/s.

A car is traveling at a constant speed on the highway. It’s tires have a diameter of 66.0 cm and are rolling without sliding and slipping. If the angular speed of the tires is 50.0 rad/s, what is the speed of the car?

A wind turbine is initially spinning at a constant angular speed. As the wind's strength gradually increases, the turbine experiences a constant angular acceleration 0.168 rad/s2. After making 2870 revolutions, its angular speed is 146 rad/s. (a) What is the initial angular velocity of the turbine? (b) How much time elapses while the turbine is speeding up?

Chapter 10, Problem 057 GO A pulley, with a rotational inertia of 7.7 x 104 kg-m2 about its axle and a radius of 12 cm, is acted on by a force applied tangentiallý at its rim. The force magnitude varies in time as F = 0.80t + 0.30t, with F in newtons and t in seconds. The pulley is initially at rest. At t = 3.8 s what are (a) its angular acceleration and (b) its angular speed? (a) Number Units (b) Number Units Click if you would like to Show Work for this question: Open Show Work

An object has a moment of inertia of 0.79 kg m2. Its angular velocity is increasing at the rate of 0.40 rad/s per second. What is the net torque (in N m2) on the object?

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. %D 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?