
4. The figure below shows a hoop with mass m = 0.5 kg and radius a...
A disk of mass M and radius R is rotating with an angular velocity ω. A rod also of mass M but length 2R is initially not rotating. It is dropped vertically onto the rotating disk. After the collision, the disk and rod rotate together with an angular velocity of? What fraction of the initial kinetic energy was lost in the collision?
9. A disk of mass M and radius R is rotating with an angular velocity o. A rod also of mass M but length 2R is initially not rotating. It is dropped vertically onto the rotating disk as shown in the figure (page above). After the collision, the disk and rod rotate together with an angular velocity of c) 30/4 f) none of the above 10. What fraction of the initial kinetic energy was lost in the collision in question...
3. A uniform solid disk of turns around a frictionless spindle with an angular speed wo A hoop with the same mass and radius is dropped onto the disk such that it sticks and begins rotating with the disk. What is the final angular speed? What fraction of the kinetic energy is lost?
A disk with radius 0.6 meters and mass 31 kg is spinning about its own center with an angular velocity of 88ed A solid sphere (/ mR2) with a radius of 0.18 meters which is spinning with an angular velocity of -18 ed (the negative sign indicates the opposite 6. rad sec direction), is gently lowered onto the disk a sticks to the disk. The two rotate together (about their mutual center of mass) at an angular velocity of 33...
An green hoop with mass mh = 2.8 kg and radius Rh = 0.17 m hangs from a string that goes over a blue solid disk pulley with mass md = 2.4 kg and radius Rd = 0.08 m. The other end of the string is attached to a massless axel through the center of an orange sphere on a flat horizontal surface that rolls without slipping and has mass ms = 3.3 kg and radius Rs = 0.18 m....
A ring (mass 4 M, radius 1 R) rotates in a CCW direction with an initial angular speed 2 ω. A disk (mass 4 M, radius 1 R) rotates in a CW direction with initial angular speed 4 ω. The ring and disk "collide" and eventually rotate together. Assume that positive angular momentum and angular velocity values correspond to rotation in the CCW direction. 1. What is the initial angular momentum Li of the ring+disk system? Write your answer in...
The mass of the disk is 0.35 kg with a radius of 0.18 m and is
initially spinning at 5 revolutions per second. It is spinning
horizontally and on a very low friction axle.
Then a uniform thin rod of length 0.40m and mass of 0.085 kg is
suspended just above the spinning disk and dropped, without any
rotational motion, onto the spinning disk exactly across its
diameter.
After the rod is dropped, the rod and disk are moving with...
6/105 The semicircular disk of mass m
= 2 kg is mounted in the light hoop of radius r = 150 mm
and released from rest in position (a). Determine the
angular velocity ω of the hoop and the normal force
N under the hoop as it passes position (b) after
rotating through 180°. The hoop rolls without slipping.
The answer is displayed, please SHOW ALL WORK leading up to the
answer. Include steps
6/105 The semicircular disk of mass...
A disk of mass 5 kg and radius 1 m is rotating with an angular velocity of ?0 = 11 rad/s . A lump of clay of mass 3 kg is dropped onto the disk at a radius of 0.5 m , sticking to the disk. What is the final angular velocity of the disk? (Idisk = MR2/2 )
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...