In which of the following cases is the magnitude of the total torque about the center of mass largest?
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In which of the following cases is the magnitude of the total torque about the center of mass largest?
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- Mutiple choice: The torque is rotational counterpart of force, but it is not force. It has tendency of rotating objects. The torque is more effective when, (1) force is larger (2) force is far from axis of rotation (3) angle between r and the force is zero a) Only (1) is correct b) Only (2) is correct c) All (1), (2), and (3) are correct d) Both (1) and (2) are correctGiven the picture attached: (a) Find the magnitude of the net torque on an axis about C perpendicular to the page. (b) Is this clockwise or counterclockwise?(5) For a body to be stationary in a frame of reference, what conditions must be met regarding forces and torques? Explain what not meeting each of the conditions will result in. (a) Show that the moment of inertia of a uniform thin rod (ruler, shaded grey below in figure) of length L and mass M rotating about its center is 1/12 ML² y (m)4 L/2 F -L/2 L/2 X (m) A constant tangential force of F-2 N (shown) is applied at the end to the initially stationary uniform thin rod of mass 2 kg and length L-6m pivoted about its center at the time t=0 s. This will rotate the rod. (b) Calculate the torque (Nm), and (c) the moment of inertia of the rod. (d) Calculate the angular acceleration of the rod (a rads/s²). (e) What is the angular displacement 0 at t = 1s (in radians and in degrees). (f) What is the angular velocity of the rod v at t = 1s. (g) What are the speeds of the tips of the rod at t = Is (they are the same). 0 -L/2 0 00
- ) The distance between the centers of the wheels of a motorcycle is 155 cm. The center of mass of the motorcycle, including the rider, is 88.0 cm above the ground and halfway between the wheels. Assume the mass of each wheel is small compared with the body of the motorcycle. The engine drives the rear wheel only. What horizontal acceleration of the motorcycle will make the front wheel rise off the ground? (There are a number of views on how to do this online, if you have difficulty with this problem look them up. One view is to calculate the torque about the point of contact on the ground and also the around the center of mass and set them equal to each other.) (a = 8.631 m/s)A man in a gym is holding an 8.0-kg kettlebell at arm's length, a distance of 0.55 m from his shoulder joint. What is the torque about his shoulder joint due to the gravitational force on the kettlebell if his arm is held at 30° below the horizontal?A cat is sitting at the edge of a merry-go-round at the distance 2.5 m from the axis of rotation. What is the maximum the angular velocity of the merry-go-round so that the cat can hold on the top it if the coefficient of static friction is 0.12.