Sin(Theta) or Cos(Theta) for Ramp problem

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SUMMARY

The discussion centers on determining the correct gravitational force component acting on a block on a frictionless incline in a pulley system. The user seeks clarification on whether to use the sine or cosine function for the gravitational force parallel to the tension in the string. The relevant equations include torque (Torque = I * alpha) and the relationship between linear acceleration and angular acceleration (a = r * alpha). The consensus is that the correct component for the gravitational force parallel to the incline is m1 * g * sin(theta).

PREREQUISITES
  • Understanding of basic physics concepts such as torque and moment of inertia.
  • Familiarity with inclined plane dynamics and gravitational force components.
  • Knowledge of angular motion equations, specifically relating linear and angular acceleration.
  • Ability to interpret free-body diagrams in mechanics problems.
NEXT STEPS
  • Review the principles of torque and moment of inertia in rotational dynamics.
  • Study inclined plane problems in classical mechanics to solidify understanding of force components.
  • Learn how to derive equations of motion for systems involving pulleys and multiple masses.
  • Explore the application of Newton's second law in both linear and rotational contexts.
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone studying mechanics, particularly those focusing on dynamics involving pulleys and inclined planes.

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Homework Statement


http://i41.photobucket.com/albums/e271/FireFox988/l10g10.gif

The blocks shown in the figure below are connected by a string of negligible mass passing over a pulley of radius r = 0.250 meter and moment of inertia I. The block on the frictionless incline is moving up with a constant acceleration of magnitude a = 2.00 m/s2. What is the moment of inertia I of the pulley?

Homework Equations


Torque=I(alpha)
a=r(alpha)

The Attempt at a Solution


I solved using T1- m1gcos(theta) = m1a
Is it m1gsin(theta) or cos(theta) for the force of gravity on block one parallel to the T1 force. (like in eq. above or do i use m1gsin(theta))(don't help me solve the problem just want to make sure i projected the gravity on block1 correctly with the parallel force of tension)
 
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I always check my own choice by considering theta=0. Would you expect the component of gravity to be 0 or mg then?
 

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