Problem 2Consider the block of mass m, connected to a spring of spring constant k andplaced on a inclined plane of angle a. Let la be the length of the spring atequili brium, and r be the elongation. The block oscillates and at the sametime is rotating around origin 0, in the plane of the inclined, by a variableangular velocity .1. Calculate the degrees of freedom of the block2. What is the kinetic energy of the block3. What is the potential energy of the block4. Write the Lagrangian function (don't derive the Euler Lagrange equa-tions)kreference planem o'

Given:- (1) A block of mass m moves on a plane = 2 N - K Here, N = 1 k = 0 (constraints)…

Answered: Consider the block of mass m, connected…

Similar questions

Please help me to solve this
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…
Consider a particle moving in uniform circular motion in the xy plane at a distance r = 1.1 m from the origin. Refer to the figure. In this problem, you will show that the projection of the particle’s motion onto the x-axis can be used to represent simple harmonic motion. a. If the particle moves counterclockwise at a constant angular velocity of ω, and at time t = 0 its coordinates are (x,y) = (r,0), enter an expression for the projection of the particle’s position onto the x-axis, in terms of r, ω, and t. b. For an angular speed of ω = 7.4 rad/s, find the value of x, in meters, at time t = 0.44 s. c. Considering the expression you entered in part (a) for the projection of the particle’s position onto the x-axis, can the projection’s motion be described as simple harmonic motion? d. Which of the graphs correctly shows the projection of the position of the moving particle onto the x-axis as a function of t for two full cycles? e. Enter an expression for the velocity function,…
A mass m = 7 kg is attached to a spring having a force constant k = 137 N/m as in the figure. The mass is displaced from its equilibrium position and released. What is the angular frequency in rad/s? (please show me the work in detail)
Please give me correct answer.