Recent content by TomW17

First thing's first: you need to draw a good free body diagram. Label all the forces acting on the mass and their directions. The sum of these forces will be equal to the mass * the acceleration of the body (remember ##a(t) = \ddot{x}(t)##) , and the required DE will fall out pretty quickly from...

It's still a calculus problem so should be posted in the relevant section. For your question, essentially you want to eliminate every derivative of ##y## and have a DE which just involves ##x## and its time derivatives. Start by differentiating ##\frac{dx}{dt}## to obtain an equation for...

Got the right answer when I take ##v_{AB}## wrt the ground. Thanks for your help!

Ahaa, there's my problem. No, I've calculated v_{AB} to be wrt the centre of the cylinder but v_O is wrt the ground.

Homework Statement Derive the natural frequency f_n of the system composed of two homogeneous circular cylinders, each of mass M, and the connecting link \text{AB} of mass m. Assume small oscillations. Homework Equations The sum of the kinetic + potential energies in an isolated system...

Homework Statement I was thinking about different scenarios in circular motion and came to this scenario. Suppose there's a car moving in a circle around some track. Obviously it's the frictional forces between the tyres and the road which provide the centripetal force. Now, suppose there's a...

Post your working out. We have no way of knowing where you went wrong (and therefore how to help you/ correct any mistakes) if we can't see your reasoning, but the attempt at the problem appears to be right (eliminate the short wire and simplify using the rules for resistors in series/ parallel).

Aha, got it, completely neglected that the frictional force accelerates the book tangentially as well as keeps it in circular motion. Thanks very much.

But surely the centripetal acceleration has no effect on the magnitude of the book's tangential velocity (speed)? So the constant acceleration equation still applies to calculate the book's speed, which in turn can be used to calculate the magnitude of the centripetal force, which the frictional...

Homework Statement A car makes a left turn from a stopped position, increasing its speed at a rate of 2 m/s/s. If a book is on the dashboard of the car, at what time will the book begin to slide if the static coefficient of friction \mu_s = 0.3? The radius of the curve of the motion is 7m...