Angular Acceleration of at woods machine

Click For Summary
SUMMARY

The discussion centers on calculating the acceleration of two masses, m1 and m2, in an Atwood's machine, considering the moment of inertia (I) of the pulley. The equations provided include T = I * a(angular) = F * d * sin(90). The user initially struggled with understanding torque and the normal force but later found a solution online. A key question remains regarding how to determine the tension on each side of the pulley.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with rotational dynamics and torque
  • Knowledge of moment of inertia concepts
  • Basic algebra for solving equations
NEXT STEPS
  • Research how to calculate tension in a pulley system with unequal masses
  • Study the principles of rotational dynamics in detail
  • Learn about the effects of moment of inertia on system acceleration
  • Explore online resources for solving Atwood's machine problems
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, and educators looking for examples of Atwood's machine problems and solutions.

meganw
Messages
96
Reaction score
0

Homework Statement



An Atwood's machine consists of two masses, m1 and m2, which are connected by a massless inelastic cord that passes over a pulley, Fig. 10-70. If the pulley has radius R and moment of inertia I about its axle, determine the acceleration of the masses m1 and m2 (a), and compare to the situation in which the moment of inertia of the pulley is ignored (a0). [Hint: The tensions FT1 and FT2 are not necessarily equal.] (Use m_1 for m1, m_2 for m2, R_0 for R0, and g and I as appropriate.)

10-70.gif


a= _________

a(0)= _________

Homework Equations



T = I * a(angular) = F*d*sin90

The Attempt at a Solution




Attempt at Solution: I was trying to sum the forces and use Torque but I have NO idea what Torque is or what the value of the normal force is. :(
 
Physics news on Phys.org
Before you mark this as solved, does anyone know how to find the tension on each side of the pulley?
 

Similar threads

  • · Replies 10 ·
Replies
10
Views
3K
Replies
25
Views
4K
  • · Replies 8 ·
Replies
8
Views
4K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
6
Views
3K
Replies
8
Views
10K
  • · Replies 30 ·
2
Replies
30
Views
4K
  • · Replies 13 ·
Replies
13
Views
4K