Shown below is a small particle of mass 33 g that is moving at a speed of 10 m/s when it collides with and sticks to the edge of a uniform solid cylinder. The cylinder is free to rotate about the axis through its center and perpendicular to the page. The cylinder has a mass of 0.4 kg and a radius of 18 cm and is initially at rest.
(a)
What is the angular velocity (in rad/s) of the system after the collision? (Indicate the direction with the sign of your answer.)
(b)
How much kinetic energy (in J) is lost in the collision?
Shown below is a small particle of mass 33 g that is moving at a speed...
Shown below is a small particle of mass 19 g that is moving at a speed of 10 m/s when it collides with and sticks to the edge of a uniform solid cylinder. The cylinder is free to rotate about the axis through its center and perpendicular to the page. The cylinder has a mass of 0.4 kg and a radius of 20 cm and is initially at rest. 10 m/s Before After (a) What is the angular velocity (in...
long thin rod length h A particle, with mass m, is moving through space with constant velocity v, as shown in the diagram. COM It eventually collides with and sticks to the end of a long thin uniform rod, which has mass M and length /h and is initially at rest. The mass of the particle (m) is negligible compared with the mass of the rod. (a) Show the angular momentum of the particle about the COM of the rod...
Q20 (15 points): A bullet of mass m X102 kg is moving with a speed of 100 m/s when it collides with a rod of mass mR 5 kg and length L m (shown in the figure). The rod is initially at rest, in a vertical position, and pivots about an axis going through its center of mass. The bullet imbeds itself in the rod at a distance L/4 from the pivot point. As a result, the bullet-rod system starts...
Consider a completely inelastic collision in which a particle
of mass with
initial velocity collides head on with a particle of mass ,
initially at rest.(a) What fraction of the initial kinetic energy
was lost? (b)View the collision from the center of mass frame and
determine if the kinetic energy of the colliding particle remain
conserved.
Consider a completely inelastic collision in which a particle of mass with initial velocity collides head on with a particle of mass , initially...
Consider a completely inelastic collision in which a particle of
mass m1 with initial velocity v collides head on with a particle of
mass m2, initially at reat. (a) What fraction of the initial
kinetic energy was lost? (b) View the collision from the center of
mass frame and determine if the kinetic enegy of the colliding
particle remain conserved.
Consider a completely inelastic collision in which a particle of mass with initial velocity collides head on with a particle...
PART A A particle of mass 2.5 kg is moving with v =(-2.3i+1.4j )(m/s). At one instant,it is located at r = (2i+4j) m. Calculate the angular momentum of the particle at that instant with respect to the origin. Answer: 30 kgm2/s? PART B Find the angular momentum of a solid cylinder rotating with 12 rad/s angular speed around the axis passing through its center of mass. The radius of the cylinder is 15 cm, its length is 30 cm...
The top edge of a thin rectangular metal plate with a mass of 2.80 kg is attached to a horizontal rod parallel to the edge of the plate. The plate hangs from this rod and is free to rotate about it without friction. The vertical height of the plate is 45.0 cm. The plate is pulled to the right until it makes an angle of 28.0° from vertical and then released from rest. At the same time, a piece of...
A
45kg mass particle goes at 3m / s and collides with the upper edge
of a uniform density disk with a mass of 175kg and a radius of
1.25m. The disk before collision was at rest. Without considering
any type of friction, what will be the magnitude of the angular
velocity of the disk with the particle attached to its edge just
after the collision?
3 m/s R=1.25m Before After
Q19: The uniform rod of mass M- 2 kg and length of L- 8 cm is free to rotate about a horizontal axis shown in the figure. An object of mass 0.4 kg moving with 24 m/s strikes and then sticks to the initially stationary rod as shown. If rotational inertia of the rod according to its center of mass is given as Icmdisk M, find the a) rotational inertia of the system before and after collision, b) angular speed...
A 0.1 kg bullet initially travels at 200 m/s before striking the
edge of a uniform horizontal cylinder supported by a frictionless
axle through its center. The cylinder has a mass of 3 kg, a radiuis
of 0.5 m and is initially at rest. The bullet becomes lodged inside
the outer edge of the cylinder. PLEASE SHOW THE STEPS
(numbers 10-) A0.1 kg bullet initially travels at 200 m/s before striking the edge of a uniform horizontal cylinder supported by...