Question

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?

Answer #1

A uniform thin rod of length 0.45 m and mass 6.5 kg can rotate
in a horizontal plane about a vertical axis through its center. The
rod is a rest when a 3.0-g bullet traveling in the horizontal plane
of the rod is fired into one end of the rod. As viewed from above,
the direction of the bullet velocity makes an angle of 60° with the
rod (see the figure). If the bullet lodges in the rod and the...

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...

thick rod is rotating (without friction) about an axis that is
perpendicular to the rod and passes through its center. The
rotational inertia of the rod is 1.8 kg•m2. A 4.2-kg cat is
standing at the center of the rod. When the cat is at the center of
the rod, the angular speed is 4.8 rad/s. The cat then begins to
walk along the rod away from the center of the rod. The cat stops
at a distance of 0.4...

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 3.00-kg rod that is 2.60 m long is free to rotate in a
vertical plane about an axle that runs through the rod's center, is
perpendicular to the rod's length, and runs parallel to the floor.
A 1.00-kg block is attached to one end of the rod, and a 2.00-kg
block is attached to the other end. At some instant, the rod makes
an angle of 31.0 ? with the horizontal so that the blocks are in
the positions...

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
the horizontal position, find the magnitude of the rod's angular
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...

A 3.00-kg rod that is 1.40 m long is free to rotate in a
vertical plane about an axle that runs through the rod's center, is
perpendicular to the rod's length, and runs parallel to the floor.
A 1.00-kg block is attached to one end of the rod, and a 2.00-kg
block is attached to the other end. At some instant, the rod makes
an angle of 37.0 ? with the horizontal so that the blocks are in
the positions...

A uniform rod is set up so that it can rotate about a
perpendicular axis at one of its ends. The length and mass of the
rod are 0.745 m and 1.27 kg. What constant-magnitude force acting
at the other end of the rod perpendicularly both to the rod and to
the axis will accelerate the rod from rest to an angular speed of
6.65 rad/s in 8.69 s? ___N

A uniform rod of mass 190 g and length 100 cm is free to rotate
in a horizontal plane around a fixed vertical axis through its
center, perpendicular to its length. Two small beads, each of mass
18 g, are mounted in grooves along the rod. Initially, the two
beads are held by catches on opposite sides of the rod's center, 18
cm from the axis of rotation. With the beads in this position, the
rod is rotating with an...

A uniform rod of mass 3.40×10−2 kg and length 0.410 m
rotates in a horizontal plane about a fixed axis through its center
and perpendicular to the rod. Two small rings, each with mass 0.190
kg , are mounted so that they can slide along the rod. They are
initially held by catches at positions a distance
5.50×10−2 m on each side from the center of the rod, and
the system is rotating at an angular velocity 28.0 rev/min ....

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