Finding the speed of an object

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In summary, the conversation discussed a problem involving a rotating spherical shell with a mass of 4.5kg and a radius of 8.5cm. A massless cord attached to a small object of mass 0.60kg passes around a pulley with a rotational inertia of 3.0 x 10^-3kg m^2 and radius of 5.0cm. The question was to determine the speed of the object after it has fallen 82cm from rest, using energy considerations. The changes in gravitational potential energy, rotational kinetic energy, and linear kinetic energy were also considered.
  • #1
ekram
moved from general forum so homework template is missing
Hello everyone,

I am having trouble finding the solution to this problem shown below:-
  1. A uniform spherical shell of mass M = 4,5kg and radius R = 8,5cm can rotate around a vertical axis on frictionless bearings. A massless cord passes around the equator of the shell over a pulley of rotational inertia I = 3,0 10- 3kg m2 and radius r = 5,0cm, and is attached to a small object of mass m = 0,60kg. There is no friction on the pulley’s axel; the cord does not slip on the pulley. What is the speed of the object when it has fallen 82cm after being released from rest? Use energy considerations.
can anyone kindly guide me to the solution to this problem.
 
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  • #2
Consider the changes in the following;
-Gravitational potential energy
-Rotational kinetic energy
-Linear kinetic energy
 

Related to Finding the speed of an object

1. How do you calculate the speed of an object?

To calculate the speed of an object, you can divide the distance traveled by the time it took to travel that distance. This will give you the average speed of the object.

2. What units are used to measure speed?

Speed is typically measured in units of distance per time, such as meters per second, kilometers per hour, or miles per hour.

3. Can an object's speed change over time?

Yes, an object's speed can change over time. This is known as acceleration, which is the rate at which an object's speed changes.

4. How does the direction of an object affect its speed?

The direction of an object can affect its speed if it is moving in a curved path. In this case, the object's speed will vary depending on its position along the curve.

5. How can you measure the speed of an object if it is moving at a constant speed?

If an object is moving at a constant speed, you can measure its speed by dividing the distance traveled by the time it took to travel that distance. This will give you the object's constant speed.

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