World's only instant tutoring platform
Search questions and Textbooks
dropdown-logo
Get 2 FREE Instant-Explanations on Filo with code FILOAPP
Question
Easy
Timing Icon

Solving time: 2 mins

Figure gives the x-t plot of a particle executing one-dimensional simple harmonic motion. Give the signs of position, velocity and acceleration variables of the particle at
Graph in 1d

tutor 0tutor 1tutor 2
Found 4 tutors discussing this question
Discuss this question LIVE
15 mins ago

Text SolutionText solutionverified iconVerified

For simple harmonic motion (SHM) of a particle, acceleration (a) is given by the relation:
  
  is  angular frequency

is negative. The slope of the x-t plot is also negative. Therefore, both position and velocity are negative. However, using equation (i), acceleration of the particle will be positive.

x is positive. The slope of the x-t plot will also be positive. Therefore, both position and velocity are positive. However, using equation (i), acceleration of the particle comes to be negative. 

In this time interval, x is negative. The slope of the x-t plot is positive. Hence, the velocity comes to be positive. From equation (i), it can be inferred that the acceleration of the particle will be positive.
Was this solution helpful?
82
Share
Report
Video Solution

Filo tutor solutions (2)

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

filo Logo
3 mins

Uploaded on: 6/6/2022

Ask your question, on a video call with tutor
Was this solution helpful?
69
Share
Report
filo Logo
1 mins

Uploaded on: 10/26/2022

Ask your question, on a video call with tutor
Was this solution helpful?
106
Share
Report
One destination for complete JEE/NEET preparation
One destination to cover all your homework and assignment needs
Learn Practice Revision Succeed
Instant 1:1 help, 24x7
Instant 1:1 help, 24x7
60, 000+ Expert tutors
60, 000+ Expert tutors
Textbook solutions
Textbook solutions
Big idea maths, McGraw-Hill Education etc
Big idea maths, McGraw-Hill Education etc
Essay review
Essay review
Get expert feedback on your essay
Get expert feedback on your essay
Schedule classes
Schedule classes
High dosage tutoring from Dedicated 3 experts
High dosage tutoring from Dedicated 3 experts
Trusted by 4 million+ students

Practice questions from Physics Part-I (NCERT)

Practice more questions from Motion in Straight Line

Practice questions on similar concepts asked by Filo students

Question 4
Views

Views: 5,518

32+1+4+3=10 pts + 1 bonus pt. In this problem, we will derive the Generalized ERF formula. Consider a polynomial P of degree k which has a repeated root of order m > 1 at x = a. Then we can write P as P(x) = (x - a)^m * Q(x) where Q is a polynomial of degree k - m with Q(a) ≠ 0. a) Show that Q is a polynomial of degree k - 1 with a root of multiplicity m - 1 at x = a. c) Now consider the ODE P(D)y = e^at * B. By the exponential response formula, we know that for any r ∈ C, we have P(D)e^(rt) = P(r)e^(rt) By differentiating both sides with respect to r and evaluating at r = a, show that e^at * t * e^(at)... * (t - (m - 1)e^(at)) solves the homogeneous equation P(D)y = 0, and that P(D)(e^at * t * e^(at)... * (t - (m - 1)e^(at))) = e^at. d) There is no particular reason to stop differentiating after m times. Consider the example P(x) = -1 - 2x^2, which has a repeated root of order 2 at x = 1. Compute that P(D)(e^tx) = 6e^t - te^t. This can be done either directly or by applying the same reasoning from the previous problem (e.g. by plugging in e^rt and differentiating the result three times as a function of r). Using this, find a solution of P(D)y = te^t. Note that this is (strictly speaking) not covered by ERF or generalized ERF. e) (+1 bonus) Describe how this observation can be generalized to solve the ODE P(D)y = te^at for P(D) a polynomial. Credit will be given for completing this under the simplifying assumption that P(0) ≠ 0.
View more
Doubt Icon Doubt Icon

Stuck on the question or explanation?

Connect with our Physics tutors online and get step by step solution of this question.

231 students are taking LIVE classes
Question Text
Figure gives the x-t plot of a particle executing one-dimensional simple harmonic motion. Give the signs of position, velocity and acceleration variables of the particle at
Updated OnOct 26, 2022
TopicMotion in Straight Line
SubjectPhysics
ClassClass 11
Answer TypeText solution:1 Video solution: 2
Upvotes257
Avg. Video Duration2 min