A hollow sphere of mass M and radius Rkg · m? about a line through its center of mass, rolls without slipping up a surface inclinedat 0 = 30° to the horizontal. At a certain position, say at a height hi from the ground, thesphere's total kinetic energy (its center of mass kinetic energy plus its rotational kineticenergy) is 20 J. (Hint: The moment of inertia of such a halo sphere is I = ?MR². Thetranslational speed of a point on the surface of the sphere is the same as the speed of thecenter of mass of the sphere)0.15 m, with rotational inertia I= 0.040%3D(a) What ratio of this total kinetic energy is rotational?(b) What is the speed of the center of mass of the sphere at this position?this (initial) position, usingthe sphereconservation of energy, findWher= 1 m up the incline fronmo(c) its total kinetic energyandl - I m

Given: Mass of hollow sphere, M Radius of sphere, R=0.15 m Rotational inertia, I=0.040 kg.m2…

Answered: A hollow sphere of mass M and radius R…

Similar questions

A 1.00 kg solid, uniform disk rolls without slipping across a level surface, translating at 3.00 m/s. If the disk's radius is 0.150 m, find the following. HINT (a) the disk's translational kinetic energy (in J) (b) the disk's rotational kinetic energy (in J)
You are riding your bicycle down the street at a speed of 16 m/s. Your bicycle's frame has a mass of 6.0 kg, and each of its two wheels has mass 2.2 kg and radius 0.34 m. Each wheel can be thought of as a hollow hoop (assuming that the rim has much larger mass than the spokes). What is the total kinetic energy of the bicycle (in Joules)?(take into account both the translational and rotational motion.)
A car is designed to get its energy from a rotating flywheel (solid disk) with a radius of 2.00 m and a mass of 400 kg. Before a trip, the flywheel is attached to an electric motor, which brings the flywheel's rotational speed up to 4500 rev/min. (a) Find the kinetic energy stored in the flywheel. (b) If the flywheel is to supply energy to the car as would a 20.0-hp motor, find the length of time the car could run before the flywheel would have to be brought back up to speed.
A turnable with a moment of interia of 0.012 kg m² rotates freely at 2.0 rad/s. A circular disk of mass 200 g and diameter 30 cm, and initially not råtating, slips down a spindle and land on the turnable. (A) Find the new angular speed. (B.) Whot is the change in kinetic energy?
A constant torque of 17.6N m is applied to a grindstone for which the moment of inertia is 0.151kg · m2. Find the angular speed after the grindstone has made 14rev. Assume the grindstone starts from rest.
The figure shows a uniform disk that can rotate around its center like a merry-go-round. The disk has a radius of 2.3 cm and a mass of 19 grams and is initially at rest. Starting at time t= 0, two forces are to be applied tangentially to the rim as indicated, so that at time t = 1.3 s the disk has an angular velocity of 200 rad/s counterclockwise. Force F, has a magnitude of 0.100 N. What is magnitude F2? Number i Units eTextbook and Media Hint GO Tutorial tv DII DD 888 F12 F10 F11 E7 F8 F9 F6 F4 F5 F1 F2 F3 ) 1 & 23 2$ 4 6 7 8 9. 3 { Q W E Y H K ...- * CO
A 2.25 kg solid, uniform disk rolls without slipping across a level surface, translating at 4.00 m/s. If the disk's radius is 0.500 m, find the following. HINT (a) the disk's translational kinetic energy (in J) (b) the disk's rotational kinetic energy (in J)