How to Find Tangential Velocity and Acceleration on a Frictionless Curve?

[the_d]

I have a 5 kg block goin down a frictionless curve of radius 5 meters. I need to know the tangential velocity at 60 degrees from the center of the curve and its acceleration at the midpoint of the curve.

i have drawn a FBD of the block, where do i go from there?

 

[Office_Shredder]

I would use energy instead of forces for this one.

I don't get what you mean at 60 degrees from the center of the curve... do you mean 60 degrees from the top of the quarter circle? In that case, you should use trig to figure out how far it's fallen.

For the acceleration, the acceleration at the midpoint is just as if the block was lying on a straight slope with equal angle to the horizontal as the tangent line is at that point

 

[the_d]

I would use energy instead of forces for this one.

I don't get what you mean at 60 degrees from the center of the curve... do you mean 60 degrees from the top of the quarter circle? In that case, you should use trig to figure out how far it's fallen.

For the acceleration, the acceleration at the midpoint is just as if the block was lying on a straight slope with equal angle to the horizontal as the tangent line is at that point

when i say 60 degrees i mean from the center of the half circle

 

[the_d]

How do i get the acceleration at the midpoint of the curve?