# Crate on an Incline

1. Nov 8, 2007

### chaotixmonjuish

A wheel of radius R = 10.0 cm is mounted on a frictionless horizontal axis. A massless cord is wrapped around the wheel and attached to a 2.00-kg crate that slides on a frictionless surface inclined at an angle of 27.5° with the horizontal. The crate accelerates down the incline at 3.0 m/s2. What is the tension in the cord?

Is it possible to still work with this since there is no mass attached to the pulley? I'm pretty sure I need to use a moment of inertia equation to calculate the tension.

2. Nov 8, 2007

### hage567

Yes, you can do this without knowing the mass of the pulley.

3. Nov 8, 2007

### chaotixmonjuish

How does this work? I'm having a few problems.

4. Nov 8, 2007

### hage567

You've been given the acceleration of the crate. What's your equation relating the acceleration and tension of the crate (using Newton's second law)?

5. Nov 11, 2007

### chaotixmonjuish

F=ma

Would I have to worry about the circle?

6. Nov 11, 2007

### chaotixmonjuish

T=mg-ma

T=18.6*sin(27.5)-2*3

Last edited: Nov 11, 2007