Question

An object is formed by attaching a uniform, thin rod with a mass of mr =...

An object is formed by attaching a uniform, thin rod with a mass of mr = 7.22 kg and length L = 5.52 m to a uniform sphere with mass ms = 36.1 kg and radius R = 1.38 m. Note ms = 5mr 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.)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A thin, 1-dimensional, uniform rod of mass M and length L lies on the x axis...
A thin, 1-dimensional, uniform rod of mass M and length L lies on the x axis with one end at the origin. (a) Find its moment of inertia tensor about the origin. (b) Find the moment of inertia tensor if the rod’s center is located at the origin.
A thin, rigid, uniform rod has a mass of 1.40 kg and a length of 2.50...
A thin, rigid, uniform rod has a mass of 1.40 kg and a length of 2.50 m. (a) Find the moment of inertia of the rod relative to an axis that is perpendicular to the rod at one end. (b) Suppose all the mass of the rod were located at a single point. Determine the perpendicular distance of this point from the axis in part (a), such that this point particle has the same moment of inertia as the rod...
A thin 1 m long uniform rod with a total mass of 750g is suspended vertically...
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...
A thin, uniform rod is bent into a square of side length a. If the total...
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 uniform rod has a length of 0.490 m and is rotating in a circle...
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...
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 has a length of 0.430 m and is rotating in a circle...
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...
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
Uniform rod with length 6.6 m and mass 9.2 kg is rotating about an axis passing...
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
The uniform thin rod in the figure below has mass M = 2.00 kg and length...
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...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT