How Does a Frictionless Incline Affect Crate Acceleration and Wheel Tension?

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The discussion revolves around a physics problem involving a crate on a frictionless incline and a wheel connected by a cord. The crate, with a mass of 4.75 kg, accelerates down the incline at 2.4 m/s². To find the tension in the cord, participants suggest applying Newton's second law to analyze the forces acting on the crate. For the rotational inertia of the wheel, it's noted that the mass of the wheel is not provided, making the initial formula inadequate. The discussion emphasizes solving for the tension first to aid in determining the wheel's rotational inertia.
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Homework Statement



A wheel of radius R = 30.0 cm is mounted on a frictionless horizontal axis. A massless cord is wrapped around the wheel and attached to a 4.75-kg crate that slides on a frictionless surface inclined at an angle of 25.0° with the horizontal. The crate accelerates down the incline at 2.4 m/s2.

(a) What is the tension in the cord?

(b) What is the rotational inertia of the wheel about its axis of rotation?

http://schubert.tmcc.edu/enc/66/4bc10f310fba6066d747ea495c942f9f2656106d7ddf2ff5d8b54e0cfacdd98a6596246f7119a41f9feaf3573da3a023248c9ec461bb2c9f6a44610f161f83989339c3411816f6076856c10d8af94242ce73cdf70aa0bc55.gif

Homework Equations



I = MR^2

I = Inertia
M = Mass
R = Radius


The Attempt at a Solution



I thought I could solve for part (b) using the above formula but I am not getting the correct answer. And I am not even sure how to start on part (a). Any help will be appreciated.
 
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CaptFormal said:
I thought I could solve for part (b) using the above formula but I am not getting the correct answer.
You're not given the mass, nor can you assume that the wheel is a uniform disk. So that won't work. First solve part (a), then use it to solve (b).
And I am not even sure how to start on part (a).
What forces act on the crate? Apply Newton's 2nd law.
 

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