Question

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 of a uniform rod free to rotate in a
vertical plane around a pin passing through its left end. The rod
has mass *M*, length *L*, and its pivot point is
labeled "*O*." Another point, at the center of the rod, is
labeled "CG" and shown to be a distance *L*/2 from pivot
point *O*.

(a)

the rod's angular acceleration (in rad/s^{2})

rad/s^{2}

(b)

the tangential acceleration of the rod's center of mass (in
m/s^{2})

m/s^{2}

(c)

the tangential acceleration of the rod's free end (in
m/s^{2})

m/s^{2}

Answer #1

IF YOU FIND THIS HELPFUL, please give a thums up

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 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 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 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 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 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 rigid rod (mass = 3 kg, L=1.5m) is free to rotate on a
frictionless pivot (see diagram). If the rod is released from
rest in the
horizontal position shown with point A at the free end of the
rod,
(a) What is the linear acceleration of point A when the rod is
first
released?
(b) What is the angular velocity of point A when it reaches
the
position indicated by the dashed line?

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...

1) A thin rod of length 0.64 m and mass 150 g is
suspended freely from one end. It is pulled to one side and then
allowed to swing like a pendulum, passing through its lowest
position with angular speed 1.46 rad/s. Neglecting friction and air
resistance, find (a) the rod's kinetic energy at its lowest
position and (b) how far above that position the center of
mass rises.
2) A wheel, starting from rest, rotates with a constant angular...

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...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 11 minutes ago

asked 23 minutes ago

asked 28 minutes ago

asked 29 minutes ago

asked 29 minutes ago

asked 33 minutes ago

asked 36 minutes ago

asked 36 minutes ago

asked 46 minutes ago

asked 46 minutes ago

asked 51 minutes ago

asked 51 minutes ago