Question

A cylindrical rod of mass 0.82 kg and length 1.88 m is free to rotate about a pivot fixed at one end. A ball (mass 3.2 kg) is attached to the other end of the rod. The rod-and- ball system is held in a horizontal position by a vertical force that acts 1.41 m from the pivot. The force is then removed, and the rod-and-ball swings down.

(a) (4 points) What was the vertical force used to hold the system horizontal?

(b) (5 points) What is the angular speed of the system at the instant the rod is verti- cally down (at the bottom of the swing)?

Answer #1

A cylindrical rod of mass 0.82 kg and length 1.88 m is free to
rotate about a pivot fixed at one end. A ball with a mass of 3.2 kg
is attached to the other end of the rod. The rod-and ball system is
held in a horizontal position by a vertical force that acts 1.41 m
from the pivot. The force is then removed, and the rod-and-ball
swings down.
(a) What was the vertical force used to hold the...

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 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...

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 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 thin, cylindrical rod ℓ = 27.0 cm long with a mass m
= 1.20 kg has a ball of diameter d = 10.00 cm and mass
M = 2.00 kg attached to one end. The arrangement is
originally vertical and stationary, with the ball at the top as
shown in the figure below. The combination is free to pivot about
the bottom end of the rod after being given a slight nudge.
Calculate the M.I of flywheel in moon...

A thin, cylindrical rod ℓ = 27.0 cm long with a mass m = 1.20 kg
has a ball of diameter d = 10.00 cm and mass M = 2.00 kg attached
to one end. The arrangement is originally vertical and stationary,
with the ball at the top as shown in the figure below. The
combination is free to pivot about the bottom end of the rod after
being given a slight nudge.
(a) After the combination rotates through 90...

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...

The figure shows a thin rod, of length L = 2.10 m and
negligible mass, that can pivot about one end to rotate in a
vertical circle. A heavy ball of mass m = 7.10 kg is
attached to the other end. The rod is pulled aside to angle
θ0 = 5.3° and released with initial velocity v→0 = 0.
(a) What is the speed of the ball at the lowest
point? (b) Does the speed increase, decrease, or
remain...

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....

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 hour 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

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago