Purchase Solution

# 3 Physics problems: Inertia of object, cable tension, force on a hinge, torque, direction

Not what you're looking for?

1. A rigid body of total mass M and total length L consists of two solid uniform cylinders joined rigidly together at their end faces, as shown, with their principal axes of symmetry lying along the x-axis.

See Attached

##### Solution Summary

The solution shows all the workings to arrive at the answers to the problems. The inertia of objects, cable tension, force on a hinge and a torque.

##### Solution Preview

See attached file.

1.)
Let thinner and thicker parts have masses m1 and m2 respectively and volumes v1 and v2 respectively.
v1 = (L/2)*pi*(2a)^2 = 2*pi*L*a^2
v2 = (L/2)*pi*a^2 = (1/4)v1
or,
v1:v2 = 1:4
therefore,
m1 = M*1/(1+4) = M/5
and,
m2 = 4M/5

i.)
Ix = (1/2)*(M/5)*a^2 + (1/2)*(4M/5)*(2a)^2

ii.)
Iy = I1c + m1*x1c^2 + I2c + m2*x2c^2 + Ix/2
where, I1c and I2c are the moment of inertias of thinner and thicker part about their centroid assuming them thin rods. x1c and x2c are the distances of centroid of each part from the y axis. Ix/2 is added because of perpendicular theorem which says
for 2-dimensional objects like thin disk:
Ix = Iy + Iz = 2*Iy (in case of symmetric circular ...

Solution provided by:
###### Education
• MSc , Pune University, India
• PhD (IP), Pune University, India
###### Recent Feedback
• " In question 2, you incorrectly add in the \$3.00 dividend that was just paid to determine the value of the stock price using the dividend discount model. In question 4 response, it should have also been recognized that dividend discount models are not useful if any of the parameters used in the model are inaccurate. "
• "feedback: fail to recognize the operating cash flow will not begin until the end of year 3."
• "Great thanks"
• "Perfect solution..thank you"

##### Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

##### Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.