A spherical shell of radius 3.34 cm and a sphere of radius 6.97 cm are rolling without slipping along the same floor. The two objects have the same mass. If they are to have the same total kinetic energy, what should the ratio of the spherical shell's angular speed to the sphere's angular speed be?
Q: The rigid body shown in the figure consists of three particles connected by massless rods. It is to…
A:
Q: A car is traveling along a road, and its engine is turning over with an angular velocity of +220…
A: The initial angular velocity of the car's engine is ωo=220 rad/s.The final angular velocity of the…
Q: A solid sphere, a thin spherical shell, and a solid cylinder each have a radius of 3 cm and a mass…
A: We know that the potential energy is given by U=mgh here m=mas g=acceleration due to gravity…
Q: A solid sphere with radius 2.4m and mass of 77 kg has a moment of inertia given by2/5mr^2. It is…
A: 12Iω2=mg∆h1225mr2ω2=mg∆h ∆h=r2ω25g
Q: A wheel of mass 1Kg and a radius of 0.5 meters is initially at rest. A constant torque of 6 Nm is…
A:
Q: A baby of mass 10 kg is initially at rest on the edge of a merry-go-round (M=100 kg, R=2.0 m, I =…
A: mass of baby (m) = 10 kg mass of merry go round (M) = 100 kg radius (R) = 2 m initial angular…
Q: translational kinetic energy, and what fraction of the kinetic energy is rotational kinetic energy?…
A: m = 2.4 kg r = 0.62 m w = 58 rpm
Q: A solid sphere with a mass of 2 kg and a radius of 0.1 meters is rolling without slipping with a…
A: When an object rotates about an axis, it possesses kinetic energy due to its rotation.This is known…
Q: A uniform, solid sphere with a radius of 0.20 m and a mass of 0.50 kg rolls without slipping on a…
A: The formula for the moment of inertia of a solid sphere is: The formula for the total kinetic…
Q: A 30 g block sits at the center of a turntable that rotates at 65 rpm. A compressed spring shoots…
A:
Q: A uniform solid sphere rolls along a horizontal frictionless surface at 25 m/s and makes a smooth…
A: using conservation of energy,
Q: As shown in the figure, a disk of mass m = 200 grams is placed on a rotating turntable so that the…
A: According to question--- Given data -- Mass of disk (m)= 200 g. Radius of disk = 70 cm. Hanging…
Q: A large wooden turntable in the shape of a flat disk has a radius of 2.20 m and a total mass of 150…
A: Write the given values of this problem. R=2.20 mM=150 kgω1=3.30 rad/sm=69.5 kg
Q: For the purposes of this problem, treat the Earth as a solid, uniform sphere with mass 5.97x1024 kg…
A: It is given that, M=5.97×1024 kgRe=6.37×106 mRo=1.5×1011 m
Q: A thin hoop has a mass of 8.25kg and a radius of 0.750m. It rolls (without slipping) down a ramp…
A: Given value--- mass = 8.25 kg. radius = 0.75 m. vertical height = 0.75 m. We have to find--- what…
Q: A light rod of length { = 1.00 m rotates about an axis perpendicular to its length and passing…
A: Given quantities: Length of the rod (L) = 1.00 m mass of particle 1 (m1) = 4.60 kg mass of particle…
Q: A basketball starts from rest and rolls without slipping down a hill. The radius of the basketball…
A: Given information: Here, l is the length of the hill and θ is the hill’s inclination angle.
Q: How much work must be done to accelerate a baton from rest to an angular speed of 7.35 rad/s about…
A: Given angular speed =7.35 rad/s about its center baton to be a uniform rod of length = 0.517 m mass…
Q: A sphere of radius 1.34 cm1.34 cm and a cylinder of radius 6.97 cm6.97 cm are rolling without…
A:
Q: Consider a basketball player spinning a ball on the tip of a finger. If such a player performs 1.93…
A:
Q: To drive a typical car at 40 mph on a level road for one hour requires about 3.2 × 10^7 J of energy.…
A: We have a wheel of mass m=450 kg and diameter d=1.26 m which is spinning with a angular velocity say…
Q: To drive a typical car at 40 mph on a level road for one hour requires about 3.2 × 10^7 J of energy.…
A: We've to use angular equation of Kinetic energy to solve the question.
Q: A uniform disk with radius R = [R} m and mass [M} kg rotates in a horizontal plane on a frictionless…
A: Given Angle through which the disk has turned varies with time according to θt=1.1t+1.8t2 We have…
Q: A uniform solid sphere rolls along a horizontal frictionless surface at 25 m/s and makes a smooth…
A: Given: The mass of the sphere is M. The radius of the sphere is r. The velocity of the sphere is 25…
Q: Delivery trucks that operate by making use of energy stored in a rotating flywheel have been used in…
A:
Q: A uniform solid sphere rolls along a horizontal frictionless surface at 20 m/s and makes a smooth…
A:
Q: A solid cylinder of mass 2.0 kg and radius 4.0 m rotates with an angular speed of 10 rad/s about a…
A: Given: Mass of solid cylinder, M = 2.0 kg Radius, R = 4.0 m Angular speed, ωi = 10 rad/sec mass of…
Q: As shown below, a hollow cylinder with a mass 0.318 kg and an inner radius of 20 cm and an outer…
A:
Q: While spinning down from 95 rads/s to rest, a solid cylinder does 3.7 kJ of work. If the radius of…
A: Work done by solid cylinder is given by W=12Iω2W=12I2mr2ω2W=I4mr2ω2m=4Wr2ω2m=43.7×103 J1.2 m295×2π60…
Q: An aluminum cylinder of radius 12m, length of 20m, and thickness of 0.02m is spinning in space at…
A:
Q: After all the metal has unwound from the roller, the student measures the radius R and the angular…
A: Part (f) Basic Details According to the law of conservation of linear momentum, the momentum of the…
Q: A 24 g block sits at the center of a turntable that rotates at 80 rpm. A compressed spring shoots…
A: The mass of the turntable is, M=200 g0.001 kg1 g=0.2 kg The diameter of the turntable is, d=54…
Q: A hollow spherical shell has mass 8.50 kg and radius 0.240 m. It is initially at rest and then…
A: Given: mass = m=8.50 kg. radius = r = 0.240 m. angular acceleration = 0.875 rad/s2 we have to…
Q: The figure shows a device that can be used to measure the speed of a bullet. The device consists of…
A:
Q: A spherical shell of radius 3.09 cm and a sphere of radius 7.47 cm are rolling without slipping…
A: Here, we calculate the given as follow;
Q: A uniform solid sphere rolls along a horizontal frictionless surface at 15 m/s and makes a smooth…
A:
Q: A solid brass ball of mass 22 g and radius 8.51 mm rolls smoothly along a loop-the-loop track when…
A: Mass of the ball, Radius of the ball, Radius of the circular loop, Height from which the ball is…
Q: Consider a basketball player spinning a ball on the tip of a finger. If a player performs 1.95 J of…
A: Given: mass of the ball (m) = 0.624 kg circumference (C) = 0.749 m Work…
Q: You are riding your bicycle down the street at a speed of 16 m/s. Your bicycle's frame has a mass of…
A:
A spherical shell of radius 3.34 cm and a sphere of radius 6.97 cm are rolling without slipping along the same floor. The two objects have the same mass. If they are to have the same total kinetic energy, what should the ratio of the spherical shell's angular speed to the sphere's angular speed be?
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
- When your new Peloton bike indicates that you are burning the maximum number of calories, the chain has a speed of v = 2.30 m/s. When the sprocket of radius r = 0.02 m is in contact with the chain it goes around the sprocket in a circular manner. (a) If the moment of inertia of the sprocket is 4.32 kgm2, what is the rotational kinetic energy of the sprocket? (b) What is the centripetal acceleration of the chain as it makes contact with the sprocket? (c) Given that the torque on the sprocket is 3.24 Nm what is the angular acceleration of the sprocket? (d) Find the tangential acceleration of the sprocket. (e) What is the total acceleration of the sprocket?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), taking into account both the translational and rotational motion?A sphere of mass 2.2 kg and radius 9 cm rolls without sliding along a horizontal surface.It has a total kinetic energy of 2.4 J. How long does it take to complete 10 revolutions?
- A solid ball (sphere) of mass 1 kg and radius 0.3 m is held at rest at the top of a ramp. There is enough friction so that the ball will roll down the ramp without slipping. The top of the ramp is 10 meters above the ground.What will the speed be of the ball just before it hits the bottom of the ramp?A thin 155 g disk with a diameter of 8.50 cm rotates about an axis through its center with 0.260 J of kinetic energy. What is the speed (in m/s) of a point on the rim?A uniform disk (1=1/2 mR2) has a mass of 3 kg and a radius of 2m. The disk is mounted on frictionless bearings and is used as a turntable. The turntable is initially rotating at 120 rpm (revolutions per minute, convert it to rad/s). A hollow cylinder has the same mass and radius as the disk. It is released from rest, just above the turntable, and on the same vertical axis. The hollow cylinder slips on the turntable for 0.20 s until it acquires the same final angular velocity as the turntable. (HINT: Note that some of the information given is not needed! Think which conservation law(s) apply.) The final angular momentum of the system is closest to: L = Submit [5] ΑΣΦ Request Answer ? kg. m²/s 4
- A thin 105 g disk with a diameter of 7.00 cm rotates about an axis through its center with 0.615 J of kinetic energy. What is the speed (in m/s) of a point on the rim?The figure shows a device that can be used to measure the speed of a bullet. The device consists of two rotating disks, separated by a distance of d = 0.872 m, and rotating with an angular speed of 101 rad/s. The bullet first passes through the left disk and then through the right disk. It is found that the angular displacement between the two bullet holes is = 0.268 rad. From these data, determine the speed of the bullet. Number IN Bullet Units MotorA merry-go-round modeled as a disk of mass M = 7.50 x 10- kg and radius R = 2.10 m is rotating in a horizontal plane about a frictionless vertical axle (see figure). (a) After a student with mass m = 82.0 kg jumps onto the merry-go-round, the system's angular speed decreases to 2.05 rad/s. If the student walks slowly from the edge toward the center, find the angular speed of the system when she reaches a point 0.470 m from the center. 5.88 rad/s (b) Find the change in the system's rotational kinetic energy caused by her movement to the center. 2073.05 (c) Find the work done on the student as she walks to r = 0.470 m. -2073.05 Your response differs from the correct answer by more than 100%. J