Complete Question
The diagram of with this question is shown on the first uploaded image
Answer:
The value is
Explanation:
From the question we are told that
The mass of the rock is
The length of the string is
The angle the string makes horizontal is
The angle which the projection of the string onto the xy -plane makes with the positive x-axis is
The angular velocity of the rock is
Generally the radius of the circle made by the length of the string is mathematically represented as
=>
=>
Generally the resultant tangential velocity is mathematically represented as
=>
=>
Generally the tangential velocity along the x-axis is
=>
=>
The negative sign show that the velocity is directed toward the negative x-axis
Generally the tangential velocity along the y-axis is
=>
=>
Generally the tangential velocity along the y-axis is
=>
Generally the tangential velocity at that instant is mathematically represented as
