The figure shows an arrangement with an air track, in which a cart is connected by a cord to a hanging block. The cart has mass m1 = 0.540 kg, and its center is initially at xy coordinates (- 0.330 m, O m); the block has mass m2 = 0.320 kg, and its center is initially at xy coordinates (0, - 0.140 m). The mass of the cord and pulley are negligible. The cart is released from rest, and both cart and block move until the cart hits the pulley. The friction between the cart and the air track and between the pulley and its axle is negligible. (a) In unit- vector notation, what is the acceleration of the center of mass of the cart-block system? (b) What is the velocity of the com as a function of time t, in unit-vector notation?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter11: Dynamics Of Rigid Bodies
Section: Chapter Questions
Problem 11.2P
icon
Related questions
Question
The figure shows an arrangement with an air track, in which a cart is connected by a cord to a hanging block. The cart has mass m =
0.540 kg, and its center is initially at xy coordinates (- 0.330 m, 0 m); the block has mass m2 = 0.320 kg, and its center is initially at xy
coordinates (0, – 0.140 m). The mass of the cord and pulley are negligible. The cart is released from rest, and both cart and block move
until the cart hits the pulley. The friction between the cart and the air track and between the pulley and its axle is negligible. (a) In unit-
vector notation, what is the acceleration of the center of mass of the cart-block system? (b) What is the velocity of the com as a
function of time t, in unit-vector notation?
Transcribed Image Text:The figure shows an arrangement with an air track, in which a cart is connected by a cord to a hanging block. The cart has mass m = 0.540 kg, and its center is initially at xy coordinates (- 0.330 m, 0 m); the block has mass m2 = 0.320 kg, and its center is initially at xy coordinates (0, – 0.140 m). The mass of the cord and pulley are negligible. The cart is released from rest, and both cart and block move until the cart hits the pulley. The friction between the cart and the air track and between the pulley and its axle is negligible. (a) In unit- vector notation, what is the acceleration of the center of mass of the cart-block system? (b) What is the velocity of the com as a function of time t, in unit-vector notation?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Classical Dynamics of Particles and Systems
Classical Dynamics of Particles and Systems
Physics
ISBN:
9780534408961
Author:
Stephen T. Thornton, Jerry B. Marion
Publisher:
Cengage Learning
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning