Circular Motion and Gravitation

$a_c = v \times r$

$a_c = \frac{r}{v^2}$

$a_c = \frac{v^2}{r}$

$a_c = v^2 \times r$

Changing weights on an atwood machine where one side moves in circular motion within a horizontal plane.

Placing objects of different masses on records spinning at unknown speeds on turntables with identical diameters.

Using objects of different masses attached to strings of equal length swung at a constant period.

Dropping objects of different masses from varying heights onto a rotating platform.

Centripetal acceleration

Uniform acceleration

Tangential acceleration

Linear acceleration

$A= \frac{v^2}{r}$

$A= \frac{v}{t}$

$F= \frac{mv^2}{r}$

$a= \frac{f}{m}$

Speed

Mass

Temperature

Direction of velocity

Mass of the object in motion

Mass of the object nearest to it

Speed of the object

Radius of the circular path

both the rabbit and the person will accelerate but then slow down

neither, they move at the same speed

the rabbit

the person

The centripetal acceleration doubles.

The centripetal acceleration remains unchanged.

The centripetal acceleration quadruples.

The centripetal acceleration halves.

Electrostatic force

Magnetic force

Frictional force

Gravitational force

The car would increase its speed along the circular path due to a decrease in opposing frictional forces.

The car would start to slide outward because there is less frictional force available to provide the necessary centripetal acceleration.

The car would continue on its circular path with unchanged conditions as inertia alone maintains its motion.

The car's radius of curvature would decrease, leading to an increase in centripetal acceleration.