# Physics

posted by .

A ball of mass 0.1 kg is suspended vertically from the ceiling with a "massless" string and
brought to rest. The string is one meter long. When a force of 0.5N is applied 45 deg. below
the horizontal, what will be the magnitude of the resulting angular acceleration of the ball?

How would you go about solving this?

• Physics -

The torque is M=F•cosα•L.
The ball is material point => its moment of inertia is
I=m•L².
The Newton’s 2 law for rotation
M=I•ε,
F•cosα•L= m•L²•ε,
ε= F•cosα•L/ m•L²=F•cosα /m•L.

## Similar Questions

1. ### physics

A .100 kg meter stick is supported at its 40.0 cm mark by a string attached to the ceiling. A .700 kg mass hangs vertically from the 5.00 cm mark. A mass, m, is attached somewhere on the meter stick to keep it horizontal and in rotational …
2. ### Physics

A massless string runs around two massless, frictionless pulleys, where one pulley is attached to the ceiling, and the other is suspended with a mass m. An object with mass m = 17 kg hangs from one pulley. A force F is exerted on the …
3. ### Physics

We consider the case shown in the figure below. Two objects with masses m and M are connected with a taut string running over a pulley. The pulley rotates without friction. The two masses are given as M = 6.23 kg and m = 2.54 kg. A …
4. ### Physics

A pendulum is composed of a mass m suspended from the ceiling by a massless string of length L. If the mass is pulled back so that it is raised an amount L/4 and then released, what is the tension on the string at the bottom of the …
5. ### physics

A 0.112 kg meterstick is supported at its 38.6 cm mark by a string attached to the ceiling. A 0.655 kg mass hangs vertically from the 4.74 cm mark. A mass is attached somewhere on the meterstick to keep it horizontal and in both rotational …
6. ### physics

A 0.112 kg meterstick is supported at its 38.6 cm mark by a string attached to the ceiling. A 0.655 kg mass hangs vertically from the 4.74 cm mark. A mass is attached somewhere on the meterstick to keep it horizontal and in both rotational …
7. ### Physics

As shown in the picture to the right, a ball is suspended from the ceiling by a string of negligible mass. When the ball is set into motion such that it moves in a horizontal circle at a constant speed of 1.6m/s, the tension in the …
8. ### Physics

In an electricity experiment, a 1.30g plastic ball is suspended on a 56.0cm long string and given an electric charge. A charged rod brought near the ball exerts a horizontal electrical force F⃗ elec on it, causing the ball to …
9. ### Physics

A ball (mass of 0.3kg) is suspended on a string that is attached to the ceiling. The ball is charged with an unknown charge q. Determine the magnitude of the charge on the ball if the electric field strength is 3000N/C, and the string …
10. ### physics

A small 0.18 kg metal ball is tied to a very light (essentially massless) string that is 0.8 m long. The string is attached to the ceiling so as to form a pendulum. The pendulum is set into motion by releasing it from rest at an angle …

More Similar Questions