Question

The body with mass m1=2kg rotates on the surface of the table where there is no friction with angular speed w=2 rotations/s. It is connected to a block with a mass of m2=15kg with a 2 m long string and passes through a small hole in the table. How far from the table top is the body

Answer 1

The body is 15.3 meters from the table top.

Step-by-step explanation:

To calculate the distance from the table top, we need to find the length of the string that connects the rotating body and the block. We can use the equation for the centripetal force:

F = m * w^2 * r

Where:

• F is the force
• m is the mass of the body
• w is the angular speed
• r is the radius of rotation

In this case, the force is provided by the tension in the string, which is equal to the weight of the block:

T = m2 * g

We can equate these two equations and solve for the radius:

m2 * g = m1 * w^2 * r

r = (m2 * g) / (m1 * w^2)

Substituting the given values, we have:

r = (15 kg * 9.8 m/s^2) / (2 kg * (2 * pi rad/s)^2)

r = 15.3 m

So, the body is 15.3 meters from the table top.