Question

In: Physics

The figure shows a pendulum of length L = 2.6 m. Its bob (which effectively has...

The figure shows a pendulum of length L = 2.6 m. Its bob (which effectively has all the mass) has speed v0 when the cord makes an angle θ0 = 42° with the vertical. (a) What is the speed of the bob when it is in its lowest position if v0 = 9.1 m/s? What is the least value that v0 can have if the pendulum is to swing down and then up (b) to a horizontal position, and (c) to a vertical position with the cord remaining straight? (d) Do the answers to (b) and (c) increase, decrease, or remain the same if θ0 is increased by a few degrees?

Solutions

Expert Solution

please upvote


Related Solutions

The figure shows a pendulum of length L = 2.6 m. Its bob (which effectively has...
The figure shows a pendulum of length L = 2.6 m. Its bob (which effectively has all the mass) has speed v0 when the cord makes an angle θ0 = 42° with the vertical. (a) What is the speed of the bob when it is in its lowest position if v0 = 9.1 m/s? What is the least value that v0 can have if the pendulum is to swing down and then up (b) to a horizontal position, and (c)...
The figure shows a pendulum of length L = 2.0 m. Its bob (which effectively has...
The figure shows a pendulum of length L = 2.0 m. Its bob (which effectively has all the mass) has speed v0 when the cord makes an angle θ0 = 32° with the vertical. (a) What is the speed of the bob when it is in its lowest position if v0 = 6.3 m/s? What is the least value that v0 can have if the pendulum is to swing down and then up (b) to a horizontal position, and (c)...
The figure shows a conical pendulum, in which the bob (the small object at the lower...
The figure shows a conical pendulum, in which the bob (the small object at the lower end of the cord) moves in a horizontal circle at constant speed. (The cord sweeps out a cone as the bob rotates.) The bob has a mass of 0.024 kg, the string has length L = 1.2 m and negligible mass, and the bob follows a circular path of circumference 1.2 m. What are (a) the tension in the string and (b) the period...
A simple pendulum of length 0.50 m has a 0.30-kg bob. At t = 0, the...
A simple pendulum of length 0.50 m has a 0.30-kg bob. At t = 0, the bob passes through the lowest position in its motion, and at this instant it has a horizontal speed of 0.39 m/s . A. What is the maximum angular displacement ϑmax away from vertical that the pendulum reaches? B. What is the magnitude of the bob's linear speed v when it has angular displacement ϑmax/2?
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?
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...
A simple pendulum with mass m = 1.6 kg and length L = 2.79 m hangs...
A simple pendulum with mass m = 1.6 kg and length L = 2.79 m hangs from the ceiling. It is pulled back to an small angle of θ = 10.7° from the vertical and released at t = 0. A)What is the period of oscillation? B)What is the magnitude of the force on the pendulum bob perpendicular to the string at t=0? C)What is the maximum speed of the pendulum? D)What is the angular displacement at t = 3.62...
A simple pendulum with mass m = 2.3 kg and length L = 2.67 m hangs...
A simple pendulum with mass m = 2.3 kg and length L = 2.67 m hangs from the ceiling. It is pulled back to an small angle of θ = 9.4° from the vertical and released at t = 0. What is the maximum speed of the pendulum? 4) What is the angular displacement at t = 3.57 s? (give the answer as a negative angle if the angle is to the left of the vertical) 5) What is the...
A simple pendulum with mass m = 1.3 kg and length L = 2.62 m hangs...
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...
A simple pendulum with mass m = 1.5 kg and length L = 2.49 m hangs from the ceiling. It is pulled back to an small angle of θ = 9.5° from the vertical and released at t = 0. 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 s? (give the answer as a...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT