Solving for Tension & Acceleration of Solid Cylinder

bluejay
Messages
4
Reaction score
0
one end of a weightless rope is tied to the ceiling of a building and the other end is wrapped around a uniform solid cylinder that has a radius R and mass M. The cylinder is then released and falls toward the floor. The moment of inertia of a solid cylinder about an axis through its center of mass is: I=0.5MR^2

a.find the tension T in the string

b. what is the acceleration of M?
 
Physics news on Phys.org
I haven't checked the rules of the forum for a while, but I don't think they've changed. You have to start showing us how you tried to solve the problem.
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
View full post »

Similar threads

Moment of inertia of a cylinder
Replies
1
Views
1K
Falling solid cylinder with string
Replies
37
Views
3K
How Does Adding Masses Affect the Angular Velocity of a Rotating Cylinder?
Replies
12
Views
3K
Calculating Moment of Inertia for Hollow Cylinder w/ Water
Replies
40
Views
5K
Tension of rod connecting two cylinders
Replies
32
Views
3K
Stepper torque calculation to drive a solid cylinder
Replies
4
Views
2K
Finding the angle where acceleration is 0 in the system....
Replies
5
Views
1K
Falling mass, additionally accelerated by a rope
Replies
18
Views
1K
Tension in a deformed cylindrical bag on a surface
Replies
18
Views
1K
Tension in a string which connects 3 pulleys
Replies
12
Views
1K

Hot Threads

Recent Insights

Back
Top