So what is cos2(θ) in terms of sin(θ)?pkc111 said:
In your last equation in post #1 there is only one unknown, so it should be solvable.pkc111 said:
A conical pendulum is a type of pendulum where the bob (weight) moves in a circular motion rather than a back-and-forth motion. It is suspended by a string or rod and swings in a conical shape rather than a straight line.
The tension in a conical pendulum is calculated using the equation T = mgcosθ, where T is the tension, m is the mass of the bob, g is the acceleration due to gravity, and θ is the angle between the string and the vertical. This equation is derived from the centripetal force acting on the bob.
The tension in a conical pendulum is affected by the mass of the bob, the length of the string, the speed of the bob, and the angle of the string with the vertical. Any changes in these factors will result in a change in tension.
The angle of the string affects the motion of a conical pendulum by determining the tension in the string. As the angle increases, the tension decreases, resulting in a larger circular motion and slower speed of the bob. As the angle decreases, the tension increases, resulting in a smaller circular motion and faster speed of the bob.
No, the angle of a conical pendulum cannot be greater than 90 degrees. This is because the tension in the string would become negative, which is not physically possible. The maximum angle for a conical pendulum is 90 degrees, where the tension in the string is equal to the weight of the bob.