Question

Two 2.4 kg balls are attached to the ends of a thin rod of negligible mass, 54 cm in length. The rod is free to rotate in a vertical plane about a horizontal axis through its center. With the rod initially horizontal as shown, a 0.33 kg wad of wet putty drops onto one of the balls with a speed of 3.7 m/sec and sticks to it.

1)What is the ratio of
the magnitude of angular momentum of the entire system just after
the collision to just before the collision?
(**|L|**_{after}/**|L|**_{before})

2)What is the angular speed of the system just after the putty wad hits?

3)What is the ratio of
the kinetic energy of the entire system just after the collision to
just before the collision?
(**KE**_{after}/**KE**_{before})

4)Through what angle will the system rotate until it momentarily stops?

Answer #1

Two Balls and a Thin Rod
Two balls of mass 2.43 kg are attached to the ends of a
thin rod of negligible mass and length 60 cm. The rod is
free to rotate without friction about a horizontal axis through its
center. A putty wad of mass 126 gdrops onto one of the
balls, with a speed 2.6 m/s, and sticks to it.
What is the angular speed of the system just after the putty wad
hits?
What is...

Two Balls and a Thin Rod
Two balls of mass 3.29 kg are attached to the ends of a
thin rod of negligible mass and length 72 cm. The rod is
free to rotate without friction about a horizontal axis through its
center. A putty wad of mass 127 g drops onto one of the
balls, with a speed 2.5 m/s, and sticks to it.
What is the angular speed of the system just after the putty wad
hits?
1.31×10-1...

8%)
Problem 15: A rod of mass M =
3.5 kg and length L can rotate about a hinge at its left
end and is initially at rest. A putty ball of mass m = 55
g, moving with speed v = 6.68 m/s, strikes the rod at
angle θ = 59° from the normal at a distance D =
2/3 L, where L = 1.25 m, from the point of
rotation and sticks to the rod after the collision....

A uniform thin rod of length 0.56 m and mass 3.2 kg can rotate
in a horizontal plane about a vertical axis through its center. The
rod is at rest when a 3.5 g bullet traveling in the rotation plane
is fired into one end of the rod. As viewed from above, the
bullet's path makes angle θ = 60° with the rod. If the
bullet lodges in the rod and the angular velocity of the rod is
12.0 rad/s...

a rod 2.5 m long with mass 10 kg can rotate freely about a
horizontal axis through the end of the rod.
a bullet with mass 15 grams or 0.015 kg with a speed of 400 m/s
strikes center of the rod in a direction perpendicular to the rod,
and is embedded there.
What is the rod's angular speed after the bullet stops in the
rod?

A point object with mass 6 kg and a uniform rigid rod with mass
6 kg and length 11 meter are on a horizontal
frictionless planar surface. Point object hits the rod vertically
with velocity 8 m/s and sticks to the rod.
Part A
Calculate the angular velocity ω about the center of mass just
after the point object with mass m sticks to the rod.
Part B
Calculate the ratio of the lost energy to the initial kinetic
energy of...

A cylindrical rod of length 2.0 m, radius 0.5 m, and mass 1.5 kg
has two spheres attached on its ends. The centers of the spheres
are 1.0 m from the center of the rod. The mass of each sphere is
0.66 kg. The rod is capable of rotating about an axis passing
through its center and perpendicular to the plane of the page, but
the set up is stationary to begin with. A small mass of value 0.19
kgmoving...

A piece of putty of mass m = 0.75 kg and
velocity v = 2.5 m/s moves on a horizontal
frictionless surface. It collides with and sticks to a rod of mass
M = 2 kg and length L = 0.9 m
which pivots about a fixed vertical axis at the opposite end of the
rod as shown. What fration of the initial kinetic energy of the
putty is lost in this collision?
KElost/KEinitial =

two putty balls, one of mass M and the other of mass 2M, collide
and stick together. just before the collision, the ball with mass
2m is moving at an angle theta, with respect to the +y direction
with speed V, and ball with mass M is moving in the +x direction
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The uniform thin rod in the figure below has mass M =
2.00 kg and length L = 2.87 m and is free to rotate on a
frictionless pin. At the instant the rod is released from rest in
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acceleration, the tangential acceleration of the rod's center of
mass, and the tangential acceleration of the rod's free end.
HINT
An illustration shows the horizontal initial position and
vertical final position...

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