Question

An object is formed by attaching a uniform, thin rod with a mass
of m_{r} = 7.22 kg and length L = 5.52 m to a uniform
sphere with mass m_{s} = 36.1 kg and radius R = 1.38 m.
Note m_{s} = 5m_{r} and L = 4R.

1)What is the moment of inertia of the object about an axis at the left end of the rod?

2)If the object is fixed at the left end of the rod, what is the angular acceleration if a force F = 473 N is exerted perpendicular to the rod at the center of the rod?

3)What is the moment of inertia of the object about an axis at the center of mass of the object? (Note: the center of mass can be calculated to be located at a point halfway between the center of the sphere and the left edge of the sphere.)

Answer #1

A thin, uniform rod is bent into a square of side length a. If
the total mass of the rod is M, find the moment of inertia about an
axis through the center and perpendicular to the plane formed by
the interior of the square.
Thanks!

A
thin 1 m long uniform rod with a total mass of 750g is suspended
vertically at the upper end. The moment of inertia of the rod in
respect to the center of mass is mL*2/12 (where L is the total
lenght of the rod). A 9 g bullet is shot to the lower end of the
rod and embeds there. The bullet speed before impact is 580 m/s.
Calculate the amount of energy transfered to the heat during the...

Uniform rod with length 6.6 m and mass 9.2 kg is rotating about
an axis passing distance 4 m from one of its ends. The moment of
inertia of the rod about this axis (in kg m2) is

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 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

find the moment of inertia of a uniform rod (rotated about one
end) of mass M and length L starting from the definition of moment
of inertia
PLEASE INCLUDE ANY RELEVANT CALCULUS CONCEPTS

5) Consider a uniform thin rod with length L. I_1 is the moment
of inertia of this rod about an axis perpendicular to the rod a
quarter length from its center. I_2 is the moment of inertia of the
rod with respect to an axis perpendicular to it through its center.
which relationship between the two inertia's is correct?
a) I_1 = I_2. b) I_1 > I_2. c) I_1 < I_2. d) they could be
the same or different depending...

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 point object with mass 6 kg and a uniform rigid rod with mass
6 kg and length 11 meter are on a horizontal
frictionless planar surface. Point object hits the rod vertically
with velocity 8 m/s and sticks to the rod.
Part A
Calculate the angular velocity ω about the center of mass just
after the point object with mass m sticks to the rod.
Part B
Calculate the ratio of the lost energy to the initial kinetic
energy of...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 5 minutes ago

asked 12 minutes ago

asked 12 minutes ago

asked 14 minutes ago

asked 22 minutes ago

asked 23 minutes ago

asked 24 minutes ago

asked 25 minutes ago

asked 29 minutes ago

asked 45 minutes ago

asked 47 minutes ago

asked 55 minutes ago