Circular Motion Equation homework

AI Thread Summary
The discussion centers around solving a circular motion equation, with participants arriving at similar acceleration values of approximately 6 m/s². One contributor expresses doubt about the provided answer choices, questioning if they are all incorrect. Another participant points out that the tension in the string must be considered in the force calculations, suggesting a different approach using torque and moment of inertia. However, they also acknowledge that the original method may still be valid since the tension does not contribute to tangential acceleration. The conversation highlights the importance of considering all forces in circular motion problems.
Sarah00
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Homework Statement


2015_06_27_6_20_40.gif


Homework Equations


Circular Motion Equation

The Attempt at a Solution


I solved the problem and got the result to be 6 m/s2 but it is not one of the answers. I was pretty sure of my solution. So, are all choices wrong?

F = ma
mg sin 37 = ma
a = g sin 37 = 6.01 m/s2
 
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Yep I agree with you.
 
I got 5.9 ms-2 so same answer if g = 9.8 ms-2 instead of 10.
BUT - I don't like your rationale.
The force on the mass includes the tension from the string which you have ignored.
I suggest instead τ = Id2θ/dt2
I = mR2
etc.
Answer is the same though.
EDIT: on the other hand, maybe you were quick enough to realize that the tension vector, being orthogonal to the tangent vector, cannot impart force, therefore acceleration, in the tangential direction, making what you originally did 100% justified.
 
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