A pendulum consists of a stone with mass m swinging on a string of length L...

A pendulum consists of a stone with mass m swinging on a string of length L and negligible mass. The stone has a speed of v₀ when it passes its lowest point. (a) Write an expression for the speed of the stone when the string is at some angle theta with the vertical. (b) What is the greatest angle with the vertical that the string will reach during the stone's motion? (c) If the potential energy of the pendulum-Earth system is taken to be zero at the stone's lowest point, what is the total mechanical energy of the system? State all your answers in terms of the given variables and g.

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genius_generous answered 1 year ago

A pendulum consists of a 3.0 kg stone swinging on a 4.4 m string of negligible...

A pendulum consists of a 3.0 kg stone swinging on a 4.4 m string of negligible mass. The stone has a speed of 8.1 m/s when it passes its lowest point. (a) What is the speed when the string is at 58 ˚ to the vertical? (b) What is the greatest angle with the vertical that the string will reach during the stone's motion? (c) If the potential energy of the pendulum-Earth system is taken to be zero at the...

A pendulum consists of a ball of mass 3.0 kg on a string of length 4.0...

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Q1: Consider the simple pendulum system, the length of the pendulum is ‘l’ and mass ‘m’...

Q1: Consider the simple pendulum system, the length of the pendulum is ‘l’ and mass ‘m’ has simple harmonic motion. Find the equation of motion using 2 approaches: Newtonian and Lagrangian. What do you conclude?

Consider a simple plane pendulum of mass m and length l (the mass swings in a...

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A simple pendulum with mass m = 1.3 kg and length L = 2.62 m hangs from the ceiling. It is pulled back to an small angle of ? = 11.6° from the vertical and released at t = 0. What is the period of oscillation? What is the magnitude of the force on the pendulum bob perpendicular to the string at t=0? What is the maximum speed of the pendulum? What is the angular displacement at t = 3.67...

A simple pendulum with mass m = 1.5 kg and length L = 2.49 m hangs...

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A simple pendulum with mass m = 1.8 kg and length L = 2.69 m hangs from the ceiling. It is pulled back to an small angle of θ = 8.7° from the vertical and released at t = 0. 1) What is the period of oscillation? 2) What is the magnitude of the force on the pendulum bob perpendicular to the string at t=0? 3) What is the maximum speed of the pendulum? 4) What is the angular displacement...

A ball of mass m is attached to a string of length L. It is swung...

A ball of mass m is attached to a string of length L. It is swung in a vertical circle with enough speed to keep the string taut throughout the motion. Assume the ball travels freely in the circle with negligible loss of mechanical energy. Determine if the following six statements are true or false; e.g., enter TTFFFF. The tension in the string is less at the top of the circle than at the bottom of the circle. The acceleration...

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