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Assuming the electron to be a classical particle, a sphere of radius R = 10-15 m, and a uniform m...
A uniform solid sphere of radius r=0.490 m and mass m=14.5 kg
A uniform solid sphere of radius r=0.490 m and mass m=14.5 kg turns clockwise about a vertical axis through its center (when viewed from above), at an angular speed of 3.20 rad / s. What is its vector angular momentum about this axis?(Enter the magnitude in kg · m² / s.)
A uniform solid sphere with a mass M = 2.0 kg and a radius R =...
A uniform solid sphere with a mass M = 2.0 kg and a radius R = 0.10 m is set into motion with an angular speed ωo = 70 rad/s. At t = 0 the sphere is dropped a short distance (without bouncing) onto a horizontal surface. There is friction between the sphere and the surface. Find (a) the angular speed of rotation when the sphere finally rolls without slipping at time t = T and (b) the amount of...
Problem 2 Consider a particle on a sphere of fixed radius r and V = 0...
Problem 2 Consider a particle on a sphere of fixed radius r and V = 0 on the spherical surface. The particle is found in either of the following wavefunctions: Y1,1(0,0) or Y1,-1(0,0). a) What is the energy difference between the two possible wavefunctions? b) Determine the magnitude of angular momentum and its projection onto the z-axis for both wavefunctions. c) Do the energy and the magnitude of angular momentum change when the radius r of the sphere is increased?...
A sphere of radius R can rotate about a vertical axis on frictionless bearings (see figure...
A sphere of radius R can rotate about a vertical axis on frictionless bearings (see figure below). Let the rotational inertia of the sphere be A massless cord passes around the equator of the sphere, over a pulley with rotational inertial and radius r, and is attached to a small object of mass m. There is no friction on the pulley's axle and the cord does not slip on the pulley. At 1 = 0, the mass m has speed...
(11 points) A uniform solid sphere of mass m and radius r is placed inside a...
(11 points) A uniform solid sphere of mass m and radius r is placed inside a hemispherical bowl of radius R. The sphere is released from rest at an angle theta and rolls without slipping. (a) (6 points) Using Conservation of Energy, to find an expression for the angular speed of the sphere when it reaches the lowest point of the bowl. (b) (6 points) Find the magnitude of the centripetal acceleration of the center of mass of the sphere...
A sphere of radius R can rotate about a vertical axis on frictionless bearings (see figure...
A sphere of radius R can rotate about a vertical axis on frictionless bearings (see figure below). Let the rotational inertia of the sphere behe.A massless cord passes around the equator of the sphere, overs pulley with rotational inertial and radius r, and is attached to a small object of mass m. There is no friction on the pulley's axle and the cord does not slip on the pulley. Att 0, the mass m has speed Vo The system is...
2. A rigid sphere with mass 20 Kg and radius 0.6 m is free to rotate...
2. A rigid sphere with mass 20 Kg and radius 0.6 m is free to rotate around a fixed axis passing through its center (I = 2/5 mR2). The sphere is initially at rest. A force of 4 N is applied at the edge (or equator) of the sphere, tangent to the sphere and perpendicular to the sphere radius, generating a constant torque for 3 s. (i) Calculate the magnitude of the angular acceleration of the sphere. (ii) Calculate the...
assume mars to be a uniform solid sphere of mass 6.42 x 10^23 kg and radius...
assume mars to be a uniform solid sphere of mass 6.42 x 10^23 kg and radius 3390 km. The length of day on mars is 24 hours and 37 minutes. Relative to its axis of rotation, calculate the planet's (a) angular speed (b) rotational kinetic energy (c) angular momentum
4, A uniform solid sphere of mass M 10.0 kg and radius R 0.50 m rotates...
4, A uniform solid sphere of mass M 10.0 kg and radius R 0.50 m rotates about a vertical axis on frictionless bearings. A massless cord passes around the equator of the sphere, over a pulley of rotational inertia 1-1.60 kg. m2, and radius r = 0.40 m, and is attached to a block of mass m 8.00 kg which is released from rest. The cord does not slip on the sphere or pulley, and the pulley bearings are frictionless....
A uniform solid disk of mass m = 3.06 kg and radius r = 0.200 m...
A uniform solid disk of mass m = 3.06 kg and radius r = 0.200 m rotates about a fixed axis perpendicular to its face with angular frequency 6.09 rad/s. (a) Calculate the magnitude of the angular momentum of the disk when the axis of rotation passes through its center of mass. kg · m2/s (b) What is the magnitude of the angular momentum when the axis of rotation passes through a point midway between the center and the rim?...
Problem 2 Consider a particle on a sphere of fixed radius r and V = 0 on the spherical surface. The particle is found in either of the following wavefunctions: Y1,1(0,0) or Y1,-1(0,0). a) What is the energy difference between the two possible wavefunctions? b) Determine the magnitude of angular momentum and its projection onto the z-axis for both wavefunctions. c) Do the energy and the magnitude of angular momentum change when the radius r of the sphere is increased?...
A sphere of radius R can rotate about a vertical axis on frictionless bearings (see figure below). Let the rotational inertia of the sphere be A massless cord passes around the equator of the sphere, over a pulley with rotational inertial and radius r, and is attached to a small object of mass m. There is no friction on the pulley's axle and the cord does not slip on the pulley. At 1 = 0, the mass m has speed...
(11 points) A uniform solid sphere of mass m and radius r is placed inside a hemispherical bowl of radius R. The sphere is released from rest at an angle theta and rolls without slipping. (a) (6 points) Using Conservation of Energy, to find an expression for the angular speed of the sphere when it reaches the lowest point of the bowl. (b) (6 points) Find the magnitude of the centripetal acceleration of the center of mass of the sphere...
A sphere of radius R can rotate about a vertical axis on frictionless bearings (see figure below). Let the rotational inertia of the sphere behe.A massless cord passes around the equator of the sphere, overs pulley with rotational inertial and radius r, and is attached to a small object of mass m. There is no friction on the pulley's axle and the cord does not slip on the pulley. Att 0, the mass m has speed Vo The system is...
4, A uniform solid sphere of mass M 10.0 kg and radius R 0.50 m rotates about a vertical axis on frictionless bearings. A massless cord passes around the equator of the sphere, over a pulley of rotational inertia 1-1.60 kg. m2, and radius r = 0.40 m, and is attached to a block of mass m 8.00 kg which is released from rest. The cord does not slip on the sphere or pulley, and the pulley bearings are frictionless....
A uniform solid disk of mass m = 3.06 kg and radius r = 0.200 m rotates about a fixed axis perpendicular to its face with angular frequency 6.09 rad/s. (a) Calculate the magnitude of the angular momentum of the disk when the axis of rotation passes through its center of mass. kg · m2/s (b) What is the magnitude of the angular momentum when the axis of rotation passes through a point midway between the center and the rim?...
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