A pendulum has a length L = 1.04 m. It hangs straight down in a jet plane about to take off as shown by the dotted line in the figure.
As the jet accelerates uniformly during take-off, the pendulum deflects horizontally by D = 0.320 m to a new equilibrum postion. Calculate the magnitude of the plane's acceleration.
A pendulum has a length L = 1.04 m. It hangs straight down in a jet...
A simple pendulum with mass m = 2.1 kg and length L = 2.3 m hangs from the ceiling. It is pulled back to an small angle of θ = 11.9° 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? 5)What is the magnitude of the tangential acceleration as...
A simple pendulum with mass m = 2.3 kg and length L = 2.62 m
hangs from the ceiling. It is pulled back to an small angle of θ =
9.2° 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 simple pendulum with mass m = 2.1 kg and length L = 2.79 m hangs from the ceiling. It is pulled back to a small angle of θ = 11.5° 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 simple pendulum with mass m = 2.1 kg and length L = 2.3 m hangs from the ceiling. It is pulled back to an small angle of θ = 11.9° from the vertical and released at t = 0. 4)What is the angular displacement at t = 3.56 s? (give the answer as a negative angle if the angle is to the left of the vertical) 6)What is the magnitude of the radial acceleration as the pendulum passes through...
A simple pendulum with mass m = 1.8 kg and length L = 2.77 m hangs from the ceiling. It is pulled back to an small angle of θ = 9° from the vertical and released at t = 0. 1) What is the period of oscillation? Answer= 3.34 s 2) What is the magnitude of the force on the pendulum bob perpendicular to the string at t=0? Answer= 2.76 N 3) What is the maximum speed of the pendulum?...
A simple pendulum with mass m = 1.7 kg and length L = 2.47 m hangs from the ceiling. It is pulled back to an small angle of = 11.8° from the vertical and released at t = 0. 1) What is the period of oscillation? s Submit Help You currently have 10 submissions for this question. Only 15 submission are allowed. You can make 5 more submissions for this question. Your sih missions: Computed value: 2.9 Submitted: Thursday, November...
Lagrangian Mechanics: A pendulum of mass m and length l hangs from the rear view mirror in a car traveling with horizontal acceleration a. Assume the car starts from rest at time t=0. (Solve using Lagrangian Mechanics.) a) Draw a diagram of the situation. Write out the x and y coordinates of the position of the pendulum in the in terms of the angle of the pendulum, Φ, and the time t. b) Write out T, U, and L in terms...
A jetliner, traveling northward, is landing with a speed of 64.6 m/s. Once the jet touches down, it has 768 m of runway in which to reduce its speed to 14.6 m/s. Compute the average acceleration (magnitude and direction) of the plane during landing (take the direction of the plane's motion as positive).
A jetliner, traveling northward, is landing with a speed of 59.5 m/s. Once the jet touches down, it has 787 m of runway in which to reduce its speed to 5.75 m/s. Compute the average acceleration (magnitude and direction) of the plane during landing (take the direction of the plane's motion as positive).
A plane pendulum of length L and mass m is suspended from a
block of mass M. The block moves without friction and is
constrained to move horizontally only (i.e. along the x axis). You
may assume all motion is confined to the xy plane. At t = 0, both
masses are at rest, the block is at
, and the pendulum has angular deflection
with respect to the y axis.
a) Using
and
as generalized coordinates, find the Lagrangian...