World's only instant tutoring platform
Search questions and Textbooks
dropdown-logo
Instant TutoringAbout Us
Login
App StorePlay Store
Get 2 FREE Instant-Explanations on Filo with code FILOAPP
CBSE
Arrow Icon
A double pendulum is attached to a cart of mass 2m that is dri
Question

Question asked by Filo student

A double pendulum is attached to a cart of mass 2m that is driven at a constant acceleration aâ‚€ on a horizontal table. See the figure below. Each pendulum has length b and mass m. a) How many degrees of freedom are in this mechanical system? Define a set of generalized coordinates to describe its motion. (5 points) b) Derive its Lagrangian in terms of its generalized coordinates, the time-derivatives of generalized coordinates. (20 points) c) Find the equations of motion. (10 points)

Views

Views: 5,596 students

tutor 0tutor 1tutor 2
Found 6 tutors discussing this question
Levi Discussed
A double pendulum is attached to a cart of mass 2m that is driven at a constant acceleration aâ‚€ on a horizontal table. See the figure below. Each pendulum has length b and mass m. a) How many degrees of freedom are in this mechanical system? Define a set of generalized coordinates to describe its motion. (5 points) b) Derive its Lagrangian in terms of its generalized coordinates, the time-derivatives of generalized coordinates. (20 points) c) Find the equations of motion. (10 points)
10 mins ago
Discuss this question LIVE
10 mins ago
Video Solution

Filo tutor solution

Learn from their 1-to-1 discussion with Filo tutors.

Solution Available
Generate FREE solution for this question from our expert tutors in next 60 seconds
Don't let anything interrupt your homework or exam prep with world’s only instant-tutoring, available 24x7

Practice more questions on All topics

Question 1
Medium
Views

Views: 6,314

A man wishes to estimate the distance of a nearby tower from him. He stands at a point A in front of the tower and spots a very distant object in line with . He then walks perpendicular to up to , a distance of , and looks at and again. Since is very distant, the direction is practically the same as
AO; but he finds the line of sight of C shifted from the original line of sight by an angle θ = 400 (θ is known as ‘parallax’) estimate the distance of the tower C from his original position A.
Topic

Topic:

Units and Measurements

Book

Book:

Physics Part-I (NCERT)

View 4 solutions

Question 2
Medium
Views

Views: 5,395

Blocks B (of mass ) and , attached to spring of constant as shown are at rest. Block A moves with velocity u, collides and comes to rest. Subsequently at some instant, C's velocity is with no relative velocity with respect to B. The loss of mechanical energy in the whole process is . No friction anywhere.
When C's velocity is , the length of the spring differs from its natural length by
Topic

Topic:

Work, Energy and Power

Book

Book:

IIT JEE Super Course in Physics Mechanics II (Pearson)

View solution

Question 3
Hard
Views

Views: 5,462

Two moles of diatomic gas is taken through the process Const. Its temperature is increased from to . If and are the work done by gas, heat given to gas and increase in internal energy then
Topic

Topic:

Thermodynamics

View solution

Question 4
Medium
Views

Views: 5,917

 A physical quantity of the dimensions of length that can be formed out of and is [c is velocity of light, is universal constant of gravitation and is charge]
Topic

Topic:

Units and Measurements

View 18 solutions

View more
filo Logo

Students who ask this question also asked

Question 1
Views

Views: 5,815

7- A beam of natural light fall upon the vacuum under the
  1. Brewster angle on a surface that separate the vacuum and somewhere
  2. with index of refraction= n. For which value of n the total
  3. reflection coefficient (energy) for this angle is the same for the
  4. reflection coefficient for the angle= 0?
Topic

Topic:

Physics

View solution

Question 2
Views

Views: 5,870

A star-exoplanet system is oriented in the sky as shown in the figure below, which shows several snapshots of the planet's orbit. How could astronomers measure the density of this planet?
  1. Time 1
  2. Time 2
  3. Time 3
  4. Time 4
Topic

Topic:

Physics

View solution

Question 3
Views

Views: 5,593

AB and C are three vectors directed along the x, y, and z axes respectively as shown. If |A| = 4, |B| = 3, and |C| = 2, then A · 0.8B × C equals:
  1. 19.2
  2. 9.6
  3. 14.4
  4. 19.2
Topic

Topic:

Physics

View solution

Question 4
Views

Views: 5,303

Question 3 of 9 -/1 View Policies Current Attempt in Progress A 74.9-kg skier rides a 2510-m-long lift to the top of a mountain. The lift makes an angle of 18.0° with the horizontal. What is the change in the skier's gravitational potential energy? Number Units L 4 eTextbook and Media Save for Later Attempts: unlimited Submit Answer
Topic

Topic:

Physics

View solution

View more
Question Text
A double pendulum is attached to a cart of mass 2m that is driven at a constant acceleration aâ‚€ on a horizontal table. See the figure below. Each pendulum has length b and mass m. a) How many degrees of freedom are in this mechanical system? Define a set of generalized coordinates to describe its motion. (5 points) b) Derive its Lagrangian in terms of its generalized coordinates, the time-derivatives of generalized coordinates. (20 points) c) Find the equations of motion. (10 points)
TopicAll topics
SubjectPhysics
ClassClass 11