A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
M, a solid cylinder (M=2.11 kg, R=0.137 m) pivots on a thin, fixed, frictionless bearing. A string wrapped around the cylinder pulls downward with a force F which equals the weight of a 0.870 kg mass, i.e., F = 8.535 N.
A. Calculate the angular acceleration of the cylinder.
For A. I got this and it's correct "59.0 rad/s^2"
B. If instead of the force F an actual mass m = 0.870 kg is hung from the string, find the angular acceleration of the cylinder.
C.How far does m travel downward between 0.670 s and 0.870 s after the motion begins
anonymous
 3 years ago
M, a solid cylinder (M=2.11 kg, R=0.137 m) pivots on a thin, fixed, frictionless bearing. A string wrapped around the cylinder pulls downward with a force F which equals the weight of a 0.870 kg mass, i.e., F = 8.535 N. A. Calculate the angular acceleration of the cylinder. For A. I got this and it's correct "59.0 rad/s^2" B. If instead of the force F an actual mass m = 0.870 kg is hung from the string, find the angular acceleration of the cylinder. C.How far does m travel downward between 0.670 s and 0.870 s after the motion begins

This Question is Closed

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Here is the Image of the figure!

hba
 3 years ago
Best ResponseYou've already chosen the best response.1The force is equal to the weight of a hanging mass. This doesnt mean that there is actually a mass hanging off of it, it means there is a constant force applied of 8.142N. Once you see that the problem is simple. You have the equation T=I*alpha alpha is angular acceleration which is what you need so just solve for alpha. alpha=T/I where T is the torque applied and I is the moment of inertia. T = F*r (when torque is perpendicular) T = (8.142N) (0.133m) T= 1.083Nm Now find I, since it is a solid cylinder I=(1/2)Mr^2 I = (1/2) (1.99kg) (0.133m)^2 I = 0.0176 kg*m^2 now recall alpha = T/I alpha = (1.083Nm)/(.0176kg*m^2) ALPHA = 61.5 rad/s^2
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.