Prelab 1: Consider the following system consisting of a falling mass m attached by a thread...
Prelab 1: Consider the following system consisting of a falling mass m attached by a thread to a pulley of radius r and disk/platter of rotational inertiaI. As the mass falls, the thread unwinds and spins up the platter 17 The system considered above can be used to determine the rotational inertia () of the platter and pulley Sketch the force diagram for the falling mass (m) and write the equation of motion for the mass that involves the tension...
Prelab 2: Write an expression for the conservation of energy for the system that you considered in Prelab 1. You may consider the system to be frictionless. The equations should include the change in gravitational potential energy of the falling mass (), the change in kinetic energy of the falling mass ) and the change in rotational kinetic energy of the platter (K-12l Prelab 3: In the following apparatus, the auxiliary platter is dropped onto the main platter Auxiliary Platter...
Given • Hollow hoop has a mass M and radius R. It is free to rotate about an axis perpendicular to the page and the edge of the hoop. Released frm rest, passes through horizontal in final state, and rotates right Question A. Direction of final angular velocity and acceleration vector? B. Rotational inertia of hoop about axis before it is released Do the following increase, decrease,, or remain the same (Between final and initial) C. Magnitude of gravitational PE...
True and False: 4 Points Fach Any answerS NOT recorded on the Scantron answer page 1. If the vector sum of the external forces on a system is zero, the total momentum of the system is constant. T True F) False 2. In an elastic collision, the total momentum and kinetic energy are conserved. T) TrueF False According to the work-energy theorem for a rotational body, the work done to decrease the angular velocity of a rigid body is positive...
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...
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 ??...
Problem 3: A door has length of 1.25 m and mass 30.0 kg is struck by a bullet of mass 25.0 gr with initial speed of 320 m/s at exactly 1.00 m from the axis of rotation of the door. I door (1/3) m door L? a) Find the angular velocity of the system after the collision using conservation of angular momentum, b) Is the rotational kinetic energy conserved? Top view Hinge
A system of two bodies consisting of a rod of mass m and length L, and a disk of mass M and radius R, moves in the x-y plane. The disk rotates about the axis attached to the rod at a distance b from its axis of rotation. The absolute angular velocity of the rod is 2, and the angular velocity of the disk relative to the rod is @. Determine the ratio E/Ho of the kinetic energy E of...
(3) In a real experiment with setup of Figure 2, initially the disk is at rest, and the hanging mass is placed 0.700 m above the floor. Then the hanging mass falls down until finally touches the floor. Measurements show the hanging mass mh-0212 kg, the spindle radius r = 0.0251 m, the disk's angular accleration α 6.612 rad/s, and the disk's final angular velocity wf 18.79 rad/s. Please compute the quantities below: (hint: Use the formulae in the lab...
Please answer that question ASAP 1. Consider a disc and hoop both of the same mass M, radius R and thickness I. a) Explain why one of these objects has a larger moment of inertia (about an axis through the center of mass and perpendicular to the plane of the object) than the other. What effect does the thickness I have on the rotational inertia? b) Explain how the rotational inertia of the disc may be obtained by adding the...