Posted by **Ethan** on Thursday, May 24, 2012 at 4:38pm.

An external force F is holding a bob of mass 725 g in a stationary position. The angle that the massless rope makes with the vertical is θ = 33°.

(a) What is the magnitude, F, of the force needed to maintain equilibrium in N?

(b) What is the tension in the rope in N?

- Physics -
**Elena**, Thursday, May 24, 2012 at 6:01pm
F =T•sinα ,

mg = T•cos α..

F/m•g = tan α,

F = m•g•tan α =0.725•9.8•0.65 =4.6 N,

T =F/sinα = 4.6/0.54 = 8.45 N.

- Physics -
**Ethan**, Thursday, May 24, 2012 at 8:28pm
I understand how the first and third equations are used to find the answers, but how is the second equation (mg = Tcosa) used?

- Physics -
**Elena**, Friday, May 25, 2012 at 1:06pm
The third equation is the result of division the first equation by the second equation

## Answer this Question

## Related Questions

- physics - A flag of mass 2.2 kg is supported by a single rope as shown in the ...
- physics - Batman, whose mass is 119 kg, is holding on to the free end of a 14.6 ...
- College Physics - A uniform rod of mass M = 437.0 g and length L = 37.1 cm ...
- Physics - A 20 kg sign is pulled by a horizontal force such that the single rope...
- physics - small mass hangs at rest from a vertical rope of length that is ...
- Physics - A mass of 2.63 kg is attached to a string tied to a hook in the ...
- physics - A 52kg teen grabs onto a rope swing. The length of rope between the ...
- Physics - A block of mass m is pulled across a level surface by a rope that ...
- PHYSICS(HELP) - A pendulum of mass m= 0.8 kg and length l=1 m is hanging from ...
- physics help - A pendulum of mass m= 0.8 kg and length l=1 m is hanging from the...

More Related Questions