I want you to draw this system for me from the description: I will consider a system with three pendulums of equal lengths, L, but with potentially different masses m1, m2, and m3. These pendulums are attached to a common rod, which is fixed at both ends. The middle pendulum is directly attached to the rod, while the two outer pendulums are connected to the rod by weak torsional springs with spring constants k1 and k2. When the middle pendulum (pendulum 2) swings, it exerts torques on the torsional springs, which then drive oscillations in the outer pendulums. Thus, the oscillations of one pendulum can influence the oscillations of the others.

A simple pendulum that consists of a small metal ball attached to a long string oscillating with the amplitude of 10 cm and it moves with a speed of 2.5 m/s through the equillibrium position in the positive x-direction. Determine the length of the string.

The diagram shows a horizontal spring attached to a block. The block’s equilibrium position is at C, and the block oscillates between the points A and E with no friction from the floor. As the block moves from C to E, which of the following statements is true? Usp is the spring potential energy of the spring and K is the kinetic energy of the block. Usp decreases, K decreases     Usp stays the same, K stays the same     Usp decreases, K increases     Usp increases, K decreases     Usp increases, K increases

I'm doing calc1 by myself right now and not sure where to start with this problem: Here are the questions: An object attached to a spring swings vertically around its equilibrium position. The height of the object relative to its position of equilibrium is given by the following function: h(t)=(e^-(x/10)*100sin(x)-10cos(x))/101 *(See photo i have provided)* a) Give the object movement for the first 10 seconds. I know i can find the speed of an object if i have it's acceleration. But how do i find it's movement fom it's height? I have done the integral of the height's equation and it's -(100e^-(x/10)(20sin(x)+99cos(x))/10201+Constant b) Give the total distance traveled by the object during the first 10 seconds I would assume this is something along the lines of finding the final positition of the object and the initial position and substracting them? c) Give the total distance that will be traveled by the object from time t = 0. at this point i am clueless to what i should find   I…

A horizontal spring attached to a wall has a force constant of 720 N/m. A block of mass 1.90 kg is attached to the spring and oscillates freely on a horizontal, frictionless surface as in the figure below. The initial goal of this problem is to find the velocity at the equilibrium point after the block is released.   (a) What objects constitute the system, and through what forces do they interact?   (b) What are the two points of interest?   (c) Find the energy stored in the spring when the mass is stretched 6.40 cm from equilibrium and again when the mass passes through equilibrium after being released from rest. x = 6.40 _____ J x = 0  ______J   (e) Substitute to obtain a numerical value.   (f) What is the speed at the halfway point?

A mass m is attached to a spring of force constant 76.0 N/m and allowed to oscillate. The figure (Figure 1) shows a graph of its velocity vx as a function of time t. Find the period, frequency, and angular frequency of this motion. What is the amplitude (in cm)? At what times does the mass reach the position x=±A in the interval between t=0s and t=1.8s including the endpoints? Find the maximum acceleration of the mass. Find the times at which the maximum acceleration occurs in the interval between t=0s and t=1.8s including the endpoints. What is the mass m?

Consider a system of two toy railway cars (.e., frictionless masses) connected to each other by two springs, one of which is attached to the wall, as shown in the figure. Let x, and x2 be the displacement of the first and second masses from their equilibrium positions. Suppose the masses are m, = 2 kg and m₂ = 1 kg, and the spring constants are k₁ = 36 N/m and k₂= 18 N/m. a. Set up a system of second-order differential equations that models this situation. -27 18 x₁ -18 www. www. b. Find the general solution to this system of differential equations. Use a, a, b, by to denote arbitrary constants, and enter them as a1, a2, b1,b2. (1) == x₂(t)=