Question

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 immediately after the collision, what is the bullet's
speed just before impact?

Answer #1

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 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...

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...

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 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. 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

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 thin uniform rod has a length of 0.430 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 0.32 rad/s and a
moment of inertia about the axis of 3.20×10−3 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

A thin uniform rod with mass m swings about an axis that passes
through one end of the rod and is perpendicular to the plane of the
swing. The rod swings with a period T and an angular amplitude of
φm (assume this angle is sufficiently small to allow for the use of
the equations in this chapter). (a) What is the length of the rod?
(b) What is the maximum kinetic energy of the rod as it swings?
State...

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