Posted by **L** on Friday, June 11, 2010 at 10:45am.

A solid uniform 45.0 kg ball of diameter 32.0 cm is supported against a vertical frictionless wall using a thin 30 cm wire of negligible mass. (a) make a free body diagram for the ball and use it to find the tension in the wire and (b) how hard does the ball push against the wall?

8 hours ago - 4 days left to answer.

Additional Details

It looks as though the 30 cm length coverst the length of the wire from the wall to the surface of the sphere. When I worked it out I added the length of the radius to it.

- physics -
**drwls**, Friday, June 11, 2010 at 11:07am
Where is the wire attached to the ball? If the wall contact point is frictionless, the wire attached to the ball must, if extended, pass thtough the center of the ball; otherwise the string will apply an unbalanced torque about the center.

The angle the string makes with the wall is given by

sin A = R/(R + 30) = 32/62

A = 31.1 degrees

Now apply a moment balance about the string contact point at the wall. The string tension applies no moment there since it passes through the point. If F is the contact force at the wall,

M g *32 = F * (30 + 32)cos 31.1

F = 45*9.8/[0.62 cos 31.1)= 830 N

You can get the string tension T from a hotizontal force balance.

F = T sin 31.1

## Answer this Question

## Related Questions

- physics - A uniform 8 m 1500 kg beam is hinged to a wall and supported by a thin...
- physics - A uniform 250 N ladder rests against a perfectly smooth wall, making a...
- physics - A uniform horizontal bar of length L = 5 m and weight 243 N is pinned ...
- physics - A small bead of mass 100 g is able to slide along a frictionless wire...
- physics - An amusement park ride consists of a large vertical cylinder that ...
- Physics for Physical science - A picture frame hung against a wall is suspended ...
- phys - A 1155-N uniform beam is attached to a vertical wall at one end and is ...
- physics!!!!! - A small spherical insulator of mass 8.00*10^-2kg and charge +6.00...
- physics!!! - A small spherical insulator of mass 8.00*10^-2kg and charge +6.00*...
- Physics! plese help - A 1320-N uniform beam is attached to a vertical wall at ...

More Related Questions