Interactive Solution 9.53 offers a model for solving problems of this type. A solid sphere is...
Chapter 12, Problem 067 Chalkboard Video Interactive Solution 12.6Z provides a model for solving problems such as this. A 33.9-kg block of ice at 0 °C is sliding on a horizontal surface. The initial speed of the ice is 9.39 m/s and the final speed is 3.61 m/s. Assume that the part of the block that melts has a very small mass and that all the heat generated by kinetic friction goes into the block of ice, and determine the...
A thin-walled hollow cylinder is rolling on a surface. What fraction of its total kinetic energy is in the form of rotational kinetic energy about the center of mass? The answer is not 2/5.
mass of the plank is 600N
13. A solid sphere has some amount of kinetic energy as it is rolling along a plane without slipping. a. What fraction of that energy is Translational? b. What fraction of that energy is Rotational?
A solid sphere rolls in released from rest and rolls down an incline plane, which is 2.0 m long and inclined at a 30° angle from the horizontal. (a) Find its speed at the bottom of the incline. (Remember that the kinetic energy in rolling motion is the translational kinetic energy ½ Mv2 of the center, plus the rotational K.E. ½ Iω2 about the center. Also remember that v = ωr if the sphere rolls without slipping.) (b) Find the...
Question 11 A hollow sphere of radius 0.220 m, with rotational inertia I = 0.0728 kg-m2 about a line through its center of mass, rolls without slipping up a surface inclined at 33.7° to the horizontal. At a certain initial position, the sphere's total kinetic energy is 36.0 J. (a) How much of this initial kinetic energy is rotational? (b) What is the speed of the center of mass of the sphere at the initial position? When the sphere has...
Chapter 11, Problem 010 A hollow sphere of radius 0.240 m, with rotational inertia 0.0388 kg.m2 about a line through its center of mass, rolls without slipping up a surface inclined at 42.1o to the horizontal. At a certain initial position, the sphere's total kinetic energy is 7.50 J. (a) How much of this initial kinetic energy is rotational? (b) What is the speed of the center of mass of the sphere at the initial position? When the sphere has...
A solid sphere (mass 8.17kg], radius 59.8 cm) is rolling without slipping on a horizontal table. What fraction of its total kinetic energy is translational kinetic energy?
A hollow sphere of radius 0.240 m, with rotational inertia I = 0.0470 kg·m2 about a line through its center of mass, rolls without slipping up a surface inclined at 13.3° to the horizontal. At a certain initial position, the sphere's total kinetic energy is 12.0 J. (a) How much of this initial kinetic energy is rotational? (b) What is the speed of the center of mass of the sphere at the initial position? When the sphere has moved 0.690...
Chapter 06, Problem 65 Interactive Solution 6.65 offers a model for solving this problem. A car accelerates uniformly from rest to 15.0 m/s in 4.21 s along a level stretch of road. Ignoring friction, determine the average power required to accelerate the car if (a) the weight of the car is 8.66 x 10' N, and (b) the weight of the car is 1.87 x 10* N. (a) Number Units Units (b) Number Show Work is REQUIRED for this question:...
A small solid sphere with radius 0.15 cm and mass 0.15 g rolls without slipping on the inside of a large fixed hemisphere with radius 0.10 m and a vertical axis of symmetry. The sphere starts at the top from rest. (a) What is its kinetic energy at the bottom? (b) What fraction of its kinetic energy at the bottom is associated with rotation about an axis through its center of mass? (c) What is the magnitude of the normal...