Question

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 angular velocity of the rod is 9.0 rad/s immediately after the collision, what is the magnitude of the bullet's velocity just before impact?

Answer #1

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...

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 uniform rod of mass 250 g and length 75 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 25 g, are mounted in grooves along the
rod. Initially, the two beads are held by catches on opposite sides
of the rod’s center, 9 cm from the axis of rotation. With
the beads in this position, the rod is rotating with an...

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...

Two 3.20 kg balls are attached to the ends of a thin rod of
length 75.0 cm and negligible mass. The rod is free to rotate in a
vertical plane without friction about a horizontal axis through its
center. With the rod initially horizontal (the figure), a 65.0 g
wad of wet putty drops onto one of the balls, hitting it with a
speed of 3.68 m/s and then sticking to it. (a)
What is the angular speed of the...

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...

A uniform rod of mass M and length L is pivoted at one end. The
rod is left to freely rotate under the influence of its own weight.
Find its angular acceleration α when it makes an angle 30° with the
vertical axis. Solve for M=1 Kg, L=1 m, take g=10 m s-2. Your
answer in X.X rad s-2. Hint: Find the center of mass for the rod,
and calculate the torque, then apply Newton as τ= Ι·α

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 thin uniform rod has a length of 0.490 m and is rotating in a
circle on a frictionless table. The axis of rotation is
perpendicular to the length of the rod at one end and is
stationary. The rod has an angular velocity of 0.37 rad/s and a
moment of inertia about the axis of 3.50×10−3 kg⋅m2 . A
bug initially standing on the rod at the axis of rotation decides
to crawl out to the other end of...

A uniform rod of mass M and length L is pivoted at one
end. The rod is left to freely rotate under the influence of its
own weight. Find its angular acceleration α when it makes
an angle 30° with the vertical axis. Solve for M=1 Kg, L=1 m,
take g=10 m s-2. Hint: Find the center of mass for the rod, and
calculate the torque, then apply Newton as τ= Ι·α

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 23 minutes ago

asked 36 minutes ago

asked 59 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago