Simple Harmonic Motion And Uniform Circular Motion - Practice Questions & MCQ
Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main
Quick Facts
-
Simple harmonic as projection of circular motion is considered one of the most asked concept.
-
12 Questions around this concept.
Solve by difficulty
EASYA particle is moving with constant angular velocity along the circumference of a circle. Which of the following statements is true
When a particle moves with uniform circular motion.
Concepts Covered - 1
Simple harmonic as projection of circular motion
Simple harmonic can be represented as a projection of circular motion.
If P moves uniformly on a circle as shown in the below figure, then its projection P′ on a diameter of the circle executes SHM.
As the particle P moves on the circle, The position of P′ on the x-axis is given by
x(t) = A cos (ωt + φ)
This is the equation of SHM on the x-axis with amplitude A and angular frequency as
Where A is the radius of the circle
and is the angle that the radius OP makes with the x-axis at t=0
Similarly, The position of P′ on the y-axis is given by
y(t)= A sin (ωt + φ)
This also an SHM of the same amplitude as that of the projection on the x-axis, but differing by a phase of π/2.
Study it with Videos
Simple harmonic as projection of circular motion"Stay in the loop. Receive exam news, study resources, and expert advice!"
Books
Reference Books
Clear your Basics with NCERT
E-books & Sample Papers
Get Answer to all your questions
Study Resources, Applications and Opportunities
India's Largest University | NAAC A++ | 100% Placements Record | Highest CTC 2.5 Cr PA | 150 + Programmes across Multiple Disciplines
UPES B.Tech Admissions 2026
ApplyRanked #43 among Engineering colleges in India by NIRF | Highest Package 1.3 CR , 100% Placements
New Horizon College of Engineering B.E. Admissions 2025
ApplyAICTE ‘Platinum’ institute | NIRF 2024 Rank Band 151-200 under the engineering category | Tier-1 accreditation by NBA | Merit & Sports Scholarships
IITs- A Complete Guide
Get nowDive into everything you need to know about IITs—from eligibility and cutoffs to fees and placements.
Presidency University B.Tech Admissions 2025
ApplyRanked #5 among Top Emerging Engineering Institutes | Key Recruiters : Amazon, Accenture, KPMG, EY, Capgemini etc
Atlas SkillTech University | B.Tech Admissions
ApplyHands on Mentoring and Code Coaching | Cutting Edge Curriculum with Real World Application