Since there is no friction, we do not need the normal force on the ramp.
The component of gravitational force down the ramp is m g sin 30
The tension up the ramp is T
so
F = m a
T - m g sin 30 = m a
so
T = m (9.81 * .5 + 0.9)
= 146 (4.6 + 0.9)
A mover has to move a heavy sofa of mass 146 kg to the second floor of the house. He uses a rope to pull the sofa up a ramp from the first to the second floor. As he pulls the sofa he makes sure that the rope is parallel to the surface of the ramp which is at 30.0° to the horizontal. If friction between the sofa and the ramp is negligible, and the sofa has an acceleration of 0.900 m/s2, find the tension in the rope.
I do not need the answer, I just would like some help setting the equation up. Thanks!
1 answer
1 answer