 #1
 622
 32
Homework Statement:

Hi.
Question concerns a steel hoop of mass 5kg rolling without slipping down a ramp inclined at 30 degrees to the horizontal. What is it's acceleration ?
Relevant Equations:
 F=ma and resolving component of weight parallel to ramp
I already have the answer but it doesn't make sense. For starters I think the question is worded badly. I think there are 2 different accelerations here ? The acceleration of the centre of mass and the acceleration due to rotation. I think the acceleration due to rotation doesn't affect the acceleration of the centre of mass so I resolved the component of the weight down the ramp which is mgsinθ ; taking g as 10 gives this as 25 and using F=ma gives the acceleration of the COM as 5 m/s^2
Is my reasoning incorrect ?
Thanks
Is my reasoning incorrect ?
Thanks