The system shown in elevation below and plan above consists of four spheres supported by a...
On an old-fashioned rotating piano stool, a woman sits holding a pair of dumbbells at a distance of 0.620 m from the axis of rotation of the stool. She is given an angular velocity of 3.05 rad/s , after which she pulls the dumbbells in until they are only 0.160 m distant from the axis. The woman's moment of inertia about the axis of rotation is 5.50 kg⋅m2 and may be considered constant. Each dumbbell has a mass of 5.35...
A +9 B Four small spheres (A, B, C, and D), each of mass m=0.02g, are arranged as shown on the figure, all located a distance d=3.00cm from a point P. Spheres A, B, and C each carry a charge of +5.00nC, while sphere D carries a charge of -5.00nC. d +9 d a) When all the spheres are fixed at their positions, -9 what is the electric field E and electric potential V at point P? D b) What...
A +9 B Four small spheres (A, B, C, and D), each of mass m=0.02g, are arranged as shown on the figure, all located a distance d=3.00cm from a point P. Spheres A, B, and C each carry a charge of +5.00nC, while sphere D carries a charge of -5.00nC. d +9 d a) When all the spheres are fixed at their positions, -9 what is the electric field E and electric potential V at point P? D b) What...
(30) A complex object consists of four hollow plastic spheres of radius 0.100 m and mass 0.265 kg, arranged in a square, connected by thin metal rods of length 0.200 m and mass 0.528 kg. The object is rotated around the center of mass of one of the spheres. What is the moment of inertia of the object? Axis of rotation 0.2 m
Two spheres are each rotating at an angular speed of 24.6 rad/s about axes that pass through their centers. Each has a radius of 0.400 m and a mass of 1.68 kg. However, as the figure shows, one is solid and the other is a thin-walled spherical shell. Suddenly, a net external torque due to friction (magnitude = 0.330 N · m) begins to act on each sphere and slows the motion down. How long does it take (a) the...
Two spheres are each rotating at an angular speed of 22.0 rad/s about axes that pass through their centers. Each has a radius of 0.430 m and a mass of 1.64 kg. However, as the figure shows, one is solid and the other is a thin-walled spherical shell. Suddenly, a net external torque due to friction (magnitude = 0.150 N·m) begins to act on each sphere and slows the motion down. How long does it take (a) the solid sphere...
Two spheres are each rotating at an angular speed of 24.9 rad/s about axes that pass through their centers. Each has a radius of 0.450 m and a mass of 1.31 kg. However, as the figure shows, one is solid and the other is a thin-walled spherical shell. Suddenly, a net external torque due to friction (magnitude = 0.280 N m ) begins to act on each sphere and slows the motion down. How long does it take (a) the...
Two uniform solid spheres have the same mass, 1.65 kg, but one has a radius of 0.256 m while the other has a radius of 0.844 m. For each of the spheres, find the torque required to bring the sphere from rest to an angular velocity of 357 rad/s in 10.5 s. Each sphere rotates about an axis through its center. a)Torque on sphere with the smaller radius. b)Torque on sphere with the larger radius. c)For each sphere, what force...
These questions concern a space station, consisting of a long thin uniform rod of mass 4.3 x 10^6 kg and length 769 meters, with two identical uniform hollow spheres, each of mass 1.7 x 10^6 kg and radius 218 meters, attached at the ends of the rod, as shown below. Please note that none of the diagrams shown is drawn to scale. A. Suppose that the station starts out at rest (not rotating). What we want is to get it...
Problem 2 The four spheres in Fig. 2 are connected by mass-less rigid links and mounted on a rotating shaft, which is initially rotating freely about the vertical z-axis with angular speed 0 = -20 rad s-1 (clockwise when seen from above). 1. If a constant torque M = 30 Nm is applied as shown, calculate the time t necessary to reverse the direction of rotation and reach an angular speed = 20 rad s-1 in the same sense as...