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QUESTION 8 A sphere of mass 35.0 kg and radius 2.10 m is rolling on a...
A uniform cylinder of radius r15.0 cm and mass m 1.70 kg is rolling without slipping on a horizontal tabletop. The cylinder's center of mass is observed to have a speed of 4.60 m/s at a given instant. (a) What is the translational kinetic energy of the cylinder at that instant? J (b) What is the rotational kinetic energy of the cylinder around its center of mass at that instant? J (c) What is the total kinetic energy of the...
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...
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...
Problem -2 A hollow ball of radius 0.5 m and mass 4.5 kg is rolling without slipping on a level surface at a constant speed of 4.0 m/s. The ball rolls up a 40- ramp and eventually stops before rolling back down. (the moment of inertia of a hollow ball of mass M and radius RisMR2) Find: (a) the angular (rotational) speed of the ball (in rad/sec) just before it begins to move up the ramp: (b) the rotational kinetic...
Problem #2 A hollow ball of radius 0.5 m and mass 4.5 kg is rolling without slipping on a level surface at a constant speed of 4.0 m/s. The ball rolls up a 40° ramp and eventually stops before rolling back down. (the moment of inertia of a hollow ball of mass M and radius R is MR2) Find: (a) the angular (rotational) speed of the ball (in rad/sec) just before it begins to move up the ramp; (b) the...
8) A circular object with a mass of 5 kg and radius of 0.50 m is rolling without slipping down an incline. Its moment of inertia about its center is I = 0.75 m R2. The angle of the incline is 30 degrees, the object starts from rest at the top of the incline and at the bottom of the incline, its spinning at 30 rad/s about its center. What is the length of the incline? A) 20.07 m B)...
A spherical boulder (solid sphere) of mass M and radius R starts (from rest) rolling down a hill without slipping from a height of h. Which equation accurately represents the energy conservation for calculating the velocity of the center of mass (Vcm)? Start from K1+U1-K2+U2. Like in Ch 7, do NOT memorize the equation for specific situation such as this; use K1+U1 - K2+U2 to get to the desired equation) O 0+Mgh Mvm Mm +0 O0+Mgh Mvam + 0 0...
Problem 2 (10 pt.) A homogeneous sphere of mass m and radius b is rolling on an inclined plane with inclination angle ? in the gravitational field g. Follow the steps below to find the velocity V of the center of mass of the sphere as a function of time if the sphere is initially at rest. Bold font represents vectors. There exists a reaction force R at the point of contact between the sphere and the plane. The equations...