# Pulley and ramp problem

1. Sep 24, 2012

1. The problem statement, all variables and given/known data

A mass $m{1}$ = 5kg is on a frictionless ramp and connected to a cable that passes over a pulley which is then attached to a second hanging mass, $m{2}$ = 10kg. How long will it take the boxes to move 3m if they are released from rest?

$F{A}$= Forces acting on hanging object
$F{B}$= Forces acting on object on ramp

2. Relevant equations

F=ma

3. The attempt at a solution

I have solved for T using the force equation on object A and got T= -m1a + 98N

Then I substituted for T in the equation for object B and solved for acceleration, yielding:

a=(98N-49sin$\vartheta$)/15

My biggest problem is, the book says the answer is 1.13 seconds. How can I solve in terms of seconds without another variable provided? I can't think of a way to use elimination to solve for $\vartheta$.

2. Sep 24, 2012

### Simon Bridge

The image didn't come out.

But as to your question - assuming your are given the ramp angle - hint: kinematic equations.