A simple pendulum consists of a ball of mass M hanging from a uniform string of mass m and length L, with m << M. (a) If the period of oscillations for the pendulum is T, derive an expression for the speed of a transverse wave in the string when the pendulum hangs at rest in terms of m, M, T and g (the acceleration due to gravity). Your expression should not include L. (b) If the string is made to vibrate at a frequency f, what is an expression for the wavelength of the wave in the string in terms of f, m, M, T and g?
A simple pendulum consists of a ball of mass M hanging from a uniform string of...
A simple pendulum consists of a ball of mass 5.00kg hanging from a uniform string of mass 0.060 0 kg and length L. If the period of oscillation of the pendulum is 2.00 s, determine the speed of a trasverse wave in the string when the pendulum hangs vertically.
By wiggling one end, a sinusoidal wave is made to travel along a stretched string that has a mass per unit length of 22.0 g/m. The wave may be described by the wave function y 0.20 sin (0.90x-42) where x and y are in meters and t s in seconds. 1. (a) Determine the speed of the wave. Is the wave moving in the +x direction or the -x direction? b) What is the tension in the stretched string? (c)...
Please show all formulas and work. A simple pendulum consists of a ball of mass m1 = 2.00 kg hanging from a uniform string of mass m2 = 0.0070 kg and length L. If the period of oscillation for the pendulum T = 2.50 s, determine the speed of a transverse wave in the string when the pendulum hangs vertically.
A pendulum consists of a mass of 2 kg hanging from a massless string of length 1.1 m. It is being used on another planet. If the period of the pendulum is 1 s, what is the acceleration due to gravity on that planet, in units of m/s-2? Select one: a. 43 b. 87 c. 1.1 d. 11 e. 0.023
A pendulum consists of a disk of mass, m, and radius, r, connected to a pivot point via string (of negligible mass) of length, l. Note, the disk hangs vertically and the string is attached to its top. For small angles, derive an expression for: (a) angular position as a function of time (b) angular velocity as a function of time (c) angular acceleration as a function of time
A pendulum is made by hanging a mass from a string. The mass is
released from rest with the string at a 20° angle with respect to
the vertical. Find the magnitude of the mass’s acceleration as it
passes through the lowest point of its motion.
please explain
answer is e: 0.12
5. A pendulum is made by hanging a mass from a string. The mass is released from rest with the string at a 20° angle with respect to...
A simple pendulum consists of a small object of mass 2.6 kg hanging at the end of a 2.0-m-long light string that is connected to a pivot point. (a) Calculate the magnitude of the torque (due to the force of gravity) about this pivot point when the string makes a 6.0° angle with the vertical. N · m (b) Does the torque increase or decrease as the angle increase? increase decrease
Part 1: (Theory) Simple Pendulum 1. Consider a mass m hanging from a string of length L that makes an angle with the vertical (shown below). Assume the string is massless and that the hanging object is a point mass. Use Newton's Second Law directly to show that the equation of motion for this simple pendulum can be written: (LO) = -mgsin(o), (1) dia where is the angular displacement of the pendulum from its vertical equilibrium position (and is a...
Q2) A simple pendulum consists of a ball of mass 4.0 kg attached to the ceiling by a very light wire 3 of length 2.0 m. Att from rest. 0s, the pendulum is displaced to the right by an angle of 8 and released a) What is the period of oscillation? rn b) What is the magnitude of the force on the ball tangential or perpendicular) to the string at t os c) What is the maximum speed of the...
1. (20 points) A pendulum consists of a small ball of mass m=2.00 kg that is suspended from a fixed point by a light string of length L=0.850 m (like the demonstration video.) The pendulum is released from rest when it is in its initial position with 0 =65.0°. Air resistance is negligible. a) Calculate the work done by gravity as the ball moves from the highest point of its semicircular path to the lowest point of its path. b)...