A rod of mass M and Length L is hinged to the floor as shown in the figure. It is released from rest at vertical. The rod falls and hits the floor. Assume no friction in the hinge. (a) As the rod falls from the vertical to horizontal position, what is the change in its potential energy?
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- (a) At a certain instant, a particle-like object is acted on by a force F = (4.70 N )î – (1.20 N )ƒ + (8.00 N )k while the object's velocity is v = - (3.30 m/s )i + (3.10 m/s )k. What is the instantaneous rate at which the force does work on the object? (b) At some other time, the velocity consists of only a y component. If the force is unchanged, and the instantaneous power is -17.0 W, what is the velocity of the object just then? (Give your answer without a unit vector.) (a) Number Units (b) Number Unitsspherical R a vertical axis on frictionless bearings (see the figure above). A massless cord passes around the equator of the shell, over a pulley of rotational inertia I and radius r, and is attached to a small object of mass m. There is no friction on the pulley's axle; the cord does not slip on the pulley. What is the speed of the object when it has fallen a distance d after being released from rest? Use energy considerations. NOTE: Eoncono au ome of andA 10.0-kg bob is attached to a rod whose length is 10.0 m. The right end of the rod is fixed, and the bob is released from rest. a) Determine the speed of the bob when it is below the pivot point (vertical angle is zero). b) Determine the tension in the rod when the bob is below the pivot point. hint: to determine the speed of the bob when it is below the pivot point, you will need to use Calculus.
- A 200-N child is in a swing that is attached to ropes 2.00 m long. Find the gravitational potential energy associated with the child relative to her lowest position at the following times. (a) when the ropes are horizontal (b) when the ropes make a 35.0° angle with the vertical (c) when the child is at the bottom of the circular arc Nood Heln?Consider a hoop of mass 3.1 kg and radius 0.52 m that rolls without slipping down an incline. The hoop starts at rest from a height h = 2.7 m above the bottom of the incline and then rolls to the bottom.(b) The following diagram shows a football rolling from A to G. Which letter shows the ball when it has the (1) Maximum kinetic energy and (ii) Maximum potential energy? Answer : The maximum potential energy at and maximum kinetic energy at