Apply conservation of angular momentum
Li = Lf
Ii wi = If wf
I(2) = ( I+I) wf
wf = 1 rad/s
angular momentum of the entire system is halved
option (b) is correct answer
two identical platters have a shaft that they can rotate around. the shaft is centered on...
Two
discs with identical moments of inertia (initial inertia) begin
separated one on the other rotating around the same axis. The top
one is rotating in favor of the clock hands at 2.0 rad / s, and the
second one is rotating against the clock hands at 6.0 rad / s. If
we release the one above and the two identical discs collide
inelastically sticking. What will be the angular velocity just
after the collision when they are joined?
-...
A disk with moment of inertia 9.15 × 10−3 kg∙m^2 initially rotates about its center at angular velocity 5.32 rad/s. A non-rotating ring with moment of inertia 4.86 × 10−3 kg∙m^2 right above the disk’s center is suddenly dropped onto the disk. Finally, the two objects rotate at the same angular velocity ?? about the same axis. There is no external torque acting on the system during the collision. Please compute the system’s quantities below. 1. Initial angular momentum ??...
(3) A disk with moment of inertia 9.15 × 10−3 kg∙m 2 initially rotates about its center at angular velocity 5.32 rad/s. A non-rotating ring with moment of inertia 4.86 × 10−3 kg∙m 2 right above the disk’s center is suddenly dropped onto the disk. Finally, the two objects rotate at the same angular velocity ?? about the same axis. There is no external torque acting on the system during the collision. Please compute the system’s quantities below. 1. Initial...
would you please solve as much as you can since their short
questions?
22. Four identical balls of mass 0.6 kg are fastened to a massless rod whose total length is 1 m. The rod spins at 8 rad/s. The moment of inertia of this system, in units of kg m', is A) 0.61 D) 0.93 C) 1.81 B) 0.72 E) 1.22 A meter stick on a horizontal frictionless table top can rotate about the 80-cm mark. A 10 N...
Strings are wound around two pucks identical in size. One string is around the pucks outer rim, while the other is around a smaller axle in the middle, as shown. A radius of the outer rim is twice that of an axle. A side view of the pucks is also included for clarity. You start pulling the pucks with the same force F at the same time, and the pucks are originally at rest. They slide on a frictionless surface....
Two identical lightweight arms are mounted so that they can
revolve in a horizontal plane around a common axis. Two balls of
masses mm and M=2mM=2m are fixed to the ends of the arms and
connected with a light compressed spring (see the top view in
(Figure 1)). When the spring is released, the arms are pushed
apart, rotate in opposite directions, and finally collide.
What is the angle through which the arm with the larger ball
turns before the...
Problem 1 Two identical pucks, each of inertia m, are connected to a rod of length 2r and negligible inertia that is pivoted about its center (that is, there is some sort of pin though its center, around which it can rotate without friction). A third puck of inertia m/2 strikes one of the connected pucks perpendicular to the rod with a speed vi. Assume the collision is elastic. (a) Draw a diagram of the situation, clearly labeling the direction...
Two identical objects (such as billiard balls) have a one-dimensional collision in which one is initially motionless. After the collision, the moving object is stationary and the other moves with the same speed as the other originally had. Show that both momentum and kinetic energy are conserved.
To understand how to use conservation of angular momentum to solve problems involving collisions of rotating bodies. Consider a turntable to be a circular disk of moment of inertia I_t rotating at a constant angular velocity omega_i around an axis through the center and perpendicular to the plane of the disk (the disk's "primary axis of symmetry"). The axis of the disk is vertical and the disk is supported by frictionless bearings. The motor of the turntable is off, so...
3) A horizontal circular platform can rotate around a vertical axis at its center with negligible friction. You decide to use the rotating platform to design a procedure that will allow you to determine the unknown rotational inertias of different objects, for example a bowl. You know the rotational inertia of the platform Ip. Which of the following procedures would serve your task? Comment on why. (More than one answer could be correct). Comment on the procedures that are not...