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Which of the following examples represent (nearly) simple harmonic motion and which represent periodic but not simple harmonic

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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Fig. depicts four x-t plots for linear motion of a particle. Which of the plots represent periodic motion? What is the period of motion (in case of periodic motion) ?

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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Which of the following relationships between the acceleration a and the displacement x of a particle involve simple harmonic motion? (a) a = 0.7x (b) a = –200`x^2` (c) a = –10x (d) a =

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A spring balance has a scale that reads from 0 to 50 kg. The length of the scale is 20 cm. A body suspended from this balance, when displaced and released, oscillates with a period of 0.6 s. What is the weight of the body

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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A spring having with a spring constant 1200 N `m^(–1)` is mounted on a horizontal table as shown in Fig. . A mass of 3 kg is attached to the free end of the spring. The mass is then pulled sideways to a distance of 2.0 cm and released. Determine (i) the frequency of oscillations, (ii) maximum acceleration of the mass, and (iii) the maximum speed of the

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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In Exercise , let us take the position of mass when the spring is unstreched as x = 0, and the direction from left to right as the positive direction of x-axis. Give x as a function of time t for the oscillating mass if at the moment we start the stopwatch (t = 0), the mass is (a) at the mean position, (b) at the maximum stretched position, and (c) at the maximum compressed position. In what way do these functions for SHM differ from each other, in frequency, in amplitude or the initial

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Figures correspond to two circular motions. The radius of the circle, the period of revolution, the initial position, and the sense of revolution (i.e. clockwise or anti-clockwise) are indicated on each figure. Obtain the corresponding simple harmonic motions of the x-projection of the radius vector of the revolving particle P, in each

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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Plot the corresponding reference circle for each of the following simple harmonic motions. Indicate the initial (t =0) position of the particle, the radius of the circle, and the angular speed of the rotating particle. For simplicity, the sense of rotation may be fixed to be anticlockwise in every case: (x is in cm and t is in s). (a) x = –2 sin (3t + π/3) (b) x = cos (π/6 – t) (c) x = 3 sin (2πt + π/4) (d) x = 2 cos

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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Figure (a) shows a spring of force constant k clamped rigidly at one end and a mass m attached to its free end. A force F applied at the free end stretches the spring. Figure (b) shows the same spring with both ends free and attached to a mass m at either end. Each end of the spring in Fig. (b) is stretched by the same force F. (a) What is the maximum extension of the spring in the two cases ? (b) If the mass in Fig. (a) and the two masses in Fig. (b)

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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The piston in the cylinder head of a locomotive has a stroke (twice the amplitude) of 1.0 m. If the piston moves with simple harmonic motion with an angular frequency of 200 rad/min, what is its maximum speed

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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The acceleration due to gravity on the surface of moon is 1.7 m `s^(–2)`. What is the time period of a simple pendulum on the surface of moon if its time period on the surface of earth is 3.5 s ? (g on the surface of earth is 9.8 m

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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Answer the following questions : (a) Time period of a particle in SHM depends on the force constant k and mass m of the particle: `T=2πsqrt(m/k)`. A simple pendulum executes SHM approximately. Why then is the time period of a pendulum independent of the mass of the pendulum? (b) The motion of a simple pendulum is approximately simple harmonic for small angle oscillations. For larger angles of oscillation, a more involved analysis shows that T is greater than `2πsqrt(l/g)`.Think of a qualitative argument to appreciate this result. (c) A man with a wristwatch on his hand falls from the top

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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A simple pendulum of length l and having a bob of mass M is suspended in a car. The car is moving on a circular track of radius R with a uniform speed v. If the pendulum makes small oscillations in a radial direction about its equilibrium position, what will be its time period

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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A cylindrical piece of cork of density of base area A and height h floats in a liquid of density `ρ_l`. The cork is depressed slightly and then released. Show that the cork oscillates up and down simple harmonically with a period `T=2πsqrt((hρ)/(ρ_lg))` where ρ is the density of cork. (Ignore damping due to viscosity of the

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One end of a U-tube containing mercury is connected to a suction pump and the other end to atmosphere. A small pressure difference is maintained between the two columns. Show that, when the suction pump is removed, the column of mercury in the U-tube executes simple harmonic

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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An air chamber of volume V has a neck area of cross section a into which a ball of mass m just fits and can move up and down without any friction (Fig.). Show that when the ball is pressed down a little and released , it executes SHM. Obtain an expression for the time period of oscillations assuming pressure-volume variations of air to be isothermal [see Fig. 14.27].

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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You are riding in an automobile of mass 3000 kg. Assuming that you are examining the oscillation characteristics of its suspension system. The suspension sags 15 cm when the entire automobile is placed on it. Also, the amplitude of oscillation decreases by 50% during one complete oscillation. Estimate the values of (a) the spring constant k and (b) the damping constant b for the spring and shock absorber system of one wheel, assuming that each wheel supports 750

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Show that for a particle in linear SHM the average kinetic energy over a period of oscillation equals the average potential energy over the same

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A circular disc of mass 10 kg is suspended by a wire attached to its centre. The wire is twisted by rotating the disc and released. The period of torsional oscillations is found to be 1.5 s. The radius of the disc is 15 cm. Determine the torsional spring constant of the wire. (Torsional spring constant α is defined by the relation J = –α θ , where J is the restoring couple and θ the angle of

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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A body describes simple harmonic motion with an amplitude of 5 cm and a period of 0.2 s. Find the acceleration and velocity of the body when the displacement is (a) 5 cm (b) 3 cm (c) 0

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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