Showing 1 to 10 of 238 Questions
  • (a) Find the angular acceleration of the cylinder in Problem 96. Is the cylinder rotating clockwise or counter-clockwise? (b) What is the cylinder's linear acceleration relative to the table? Let the direction of be the positive direction. (c) What is the linear acceleration of the cylinder relative to theblock?

  • (a) A thin rod of length h and mass M is held vertically with its lower end resting on a frictionless horizontal surface. The rod is then released to fall freely. Determine the speed of its center of mass just before it hits the horizontal surface. (b) What If? Now suppose the rod has a fixed pivot at its lower end. Determine the speed

  • (a) A uniform solid disk of radius R and mass M is free to rotate on a frictionless pivot through a point on its rim (Fig. P10.49). If the disk is released from rest in the position shown by the blue circle, what is the speed of its center of mass when the disk reaches the position indicated by the dashed circle? (b) What is the speed o

  • (a) Determine the acceleration of the center of mass of a uniform solid disk rolling down an incline making angle θ with the horizontal. Compare this acceleration with that of a uniform hoop. (b) What is the minimum coefficient of friction required to maintain pure rolling motion for the disk?

  • (a) Find the angular speed of the Earth’s rotation on its axis. As the Earth turns toward the east, we see the sky turning toward the west at this same rate. (b) The rainy Pleiads wester And seek beyond the sea The head that I shall dream of That shall not dream of me. Cambridge, England, is at longitude 0°, and Saskatoon, Saska

  • (a) What is the rotational kinetic energy of the Earth about its spin axis? Model the Earth as a uniform sphere and use data from the endpapers. (b) The rotational kinetic energy of the Earth is decreasing steadily because of tidal friction. Find the change in one day, assuming that the rotational period decreases by 10.0 7s each year.

  • (a) Without the wheels, a bicycle frame has a mass of 8.44 kg. Each of the wheels can be roughly modeled as a uniform solid disk with a mass of 0.820 kg and a radius of 0.343 m. Find the kinetic energy of the whole bicycle when it is moving forward at 3.35 m/s. (b) Before the invention of a wheel turning on an axle, ancient people moved

  • (Multiple Choice) (1) True or false: (a) Angular velocity and linear velocity have the same dimensions. (b) All parts of a rotating wheel must have the same angular velocity. (c) All parts of a rotating wheel must have the same angular acceleration. (2) Starting from rest, a disk takes 10 revolutions to reach an angular velocit

  • 1. Does an applied net torque always increase the angular speed of an object?2. Can an object continue to rotate in the absence of torque?

  • A 0.1-kg yo-yo consists of two solid disks of radius 10 cm joined together by a massless rod of radius 1 cm and a string wrapped around the rod. One end of the string is held fixed and is under constant tension T as the yo-yo is released. Find the acceleration of the yo-yo and the tension T.