The period of swing of simple pendulum will remain unchanged till the location of centre of gravity of the bob left after melting the ice remains at a fixed distance from the point of suspension. A pendulum clock is taken to moon. Restoring force due to pressing the bottle with amount x, Q3: A particle undergoing simple harmonic motion has time-dependent displacement given by x(t) = Asin(πt/90). Hence, the motional of a horizontal mass spring system is simple harmonic motion. (Mean position) I.e. What is the test for simple harmonic motion? (iv) General vibration of polyatomic molecule about its equilibrium configuration. The bob of a simple pendulum is a spherical hollow ball filled with water. The frequency of the piston at which the washer no longer stays in contact with the piston is close to, The amplitude of S.H.M., A = 7 cm = 0.07 m, As the washer does not stay in contact with the piston, at some particular frequency i.e. What is the period of motion (in case of periodic motion)? The distance between point of suspension and oscillation is called effective length. Physics students definitely take this Simple Harmonic Motion MCQ exercise for a better result in the exam. Download eSaral App for Video Lectures, Complete Revision, Study Material and much more...Sol. If a particle moves to and fro about a mean position in a straight line such that the acceleration is directed towards the mean position and is directly proportional to the displacement from that position for a motion to be simple harmonic.
∴ f = -mgsin$\theta $ , -ve sign is for restoring force. (iv) $\log \omega t$ The initial phase is π/4, Maximum acceleration/Maximum velocity = 10⇒ ω2a/ωa =10 or ω=10, 5 = asin(0 + π/4) or 5 = asin(π/4) or a = 5√2 m, Maximum acceleration = ω2a = 102 x 5√2 = 500√2 ms-2, Q13: A child swinging on a swing in sitting position, stands up, then the time period of the swing will, (d) increases if the child is long and decreases if the child is short, When the child stands up, the centre of gravity is shifted upwards and so the length of swing decreases. The amplitude a... JEE Main 2016 (Online) 9th April Morning Slot. Q. It is defined as the distance from mean position (XX1 of O) of a body executing SHM. The ratio of kinetic to potential energy of this particle at t = 210 s will be, The maximum kinetic energy of the particle is (½)(A2ω2), The potential energy of the particle at any time t is (½)(x2ω2), ⇒KEPE=KEmaxPE−1\frac{KE}{PE}=\frac{KE_{max}}{PE}-1PEKE=PEKEmax−1, = 1sin(2π+π/3)2–1=13\frac{1}{sin (2π + π/3)^2} – 1 = \frac{1}{3}sin(2π+π/3)21–1=31, Q4: A pendulum is executing simple harmonic motion and its maximum kinetic energy is K1. (iv) General vibration of polyatomic molecule about its equilibrium configuration. This is the required expression for the time period of a mass-spring system.
EduRev is a knowledge-sharing community that depends on everyone being able to pitch in when they know something. The time it will take to drop to 1/1000 of the original amplitude is close to, Frequency of damped oscillation, f = 5 Hz, Q7: A resonance tube is old and has a jagged end. The point O on the rigid support is called point of suspension and c.g.
Simple Harmonic Motion's Previous Year Questions with solutions of Physics from JEE Main subject wise and chapter wise with solutions Maximum kinetic energy and maximum potential energy, B. When the particle is at 4 cm from the mean position, the magnitude of its velocity in SI units is equal to that of its acceleration. Download eSaral App for Video Lectures, Complete Revision, Study Material and much more...Sol.
Here, acceleration is directly proportional to displacement and they are opposite to each other. Does the watch give correct time?
A ball of mass ‘m’ is dropped in a tunnel along the diameter of earth from a height ‘h’ (h<
(iii) Se $^{\circ t}$ The one-dimensional projection of this motion can be described as simple harmonic motion. Get help with your Simple harmonic motion homework. In forced oscillation of a particle the amplitude is maximum for a frequency $${\omega _1}$$ of the force while the ener... A mass $$M$$ is suspended from a spring of negligible mass. Q. at the mean position. A tuning fork of frequency 512 Hz produces first resonance when the tube is filled with water to a mark 11 cm below a reference mark, near the open end of the tube.
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