Paragraph for Questions 124 Two identical carts A and B each with mass m are connected via a spring with spring constant carts are free to oscillate under the effect of the springs in one dimensional frictionless motion. k. Two additional springs, identical to the first, connect the carts to two fixed points. The Initially all springs are at relax length. Cart A Cart B my If we remove the middle spring and cart A and B perform SHM (without colliding with each other then ratio of their time period of A and B is 41 2/1/2012 (C) 0 (D) ∞ Cart A and B (with all three springs) under suitable condition can oscillates in same phase. Lets say they are oscillating in same phase then for this motion select CORRECT option(s) Length of middle spring remains fixed. (B) Length of middle spring varies with time. (C) Angular frequency of oscillation of carts is (B) k m 3k (D) Angular frequency of oscillation of carts is m 14. Cart A and B (with all three springs) under suitable condition can oscillates out of phase. Lets say they are oscillating out of phase then for this motion select CORRECT option(s). (A) Length of middle spring remains fixed. (B) Length of middle spring varies with time. (D) Angular frequency of oscillatlion of carts is k (C) Angular frequency of oscillation of carts is Vm 3k m The
Paragraph for Questions 124 Two identical carts A and B each with mass m are connected via a spring with spring constant carts are free to oscillate under the effect of the springs in one dimensional frictionless motion. k. Two additional springs, identical to the first, connect the carts to two fixed points. The Initially all springs are at relax length. Cart A Cart B my If we remove the middle spring and cart A and B perform SHM (without colliding with each other then ratio of their time period of A and B is 41 2/1/2012 (C) 0 (D) ∞ Cart A and B (with all three springs) under suitable condition can oscillates in same phase. Lets say they are oscillating in same phase then for this motion select CORRECT option(s) Length of middle spring remains fixed. (B) Length of middle spring varies with time. (C) Angular frequency of oscillation of carts is (B) k m 3k (D) Angular frequency of oscillation of carts is m 14. Cart A and B (with all three springs) under suitable condition can oscillates out of phase. Lets say they are oscillating out of phase then for this motion select CORRECT option(s). (A) Length of middle spring remains fixed. (B) Length of middle spring varies with time. (D) Angular frequency of oscillatlion of carts is k (C) Angular frequency of oscillation of carts is Vm 3k m The
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
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Chapter15: Oscillatory Motion
Section: Chapter Questions
Problem 15.11OQ: A block with mass m = 0.1 kg oscillates with amplitude .A = 0.1 in at the end of a spring with force...
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Concept explainers
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
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Question
Kindly share detailed explanation for each step and each options. Do not use Lagrangian and matrix based equations. Do not copy wrong incomplete solutions submitted earlier today and yesterday for this question on chegg and other portals.
Transcribed Image Text:Paragraph for Questions 12
Two identical carts A and B each with mass m are connected via a spring with spring constant
carts are free to oscillate under the effect of the springs in one dimensional frictionless motion,
k. Two additional springs, identical to the first, connect the carts to two fixed points. The
Initially all springs are at relax length.
Cart A
12
www.f
If we remove the middle spring and cart A and B perform SHM (without colliding with each
other then ratio of their time period of A and B is
(A) 1
(B)
(C) 0
Cart A and B (with all three springs) under suitable condition can oscillates in same phase.
Lets say they are oscillating in same phase then for this motion select CORRECT option(s)
Length of middle spring remains fixed.
(B) Length of middle spring varies with time
Cart B
(C) Angular frequency of oscillation of carts is
R
k
(D) Angular frequency of oscillatlion of carts is
m
3k
(D) Angular frequency of oscillation of carts is
m
Cart A and B (with all three springs) under suitable condition can oscillates out of phase.
Lets say they are oscillating out of phase then for this motion select CORRECT option(s).
(A) Length of middle spring remains fixed.
(B) Length of middle spring varies with time.
k
(C) Angular frequency of oscillation of carts is
m
3k
(D) ∞
m
Space for Rough Work
kindly provide detailed solution with detailed
explanation for each step and each options especially
for sub questions 13and 14.
kindly draw diagrams for explanation with all details.
This a
The
MY
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