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On an average, a human heart is found to beat 75 times in a minute. Calculate its frequency and
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Mar 19, 2022
in
11th Physics
marks2
chapter14
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Which of the following functions of time represent (a) periodic and (b) non-periodic motion? Give the period for each case of periodic motion [ω is any positive constant]. sin ωt + cos
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Mar 19, 2022
in
11th Physics
marks2
chapter14
#sub
0
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Which of the following functions of time represent (a) periodic and (b) non-periodic motion? Give the period for each case of periodic motion [ω is any positive constant]. sin ωt + cos 2 ωt + sin 4
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Mar 19, 2022
in
11th Physics
marks2
chapter14
#sub
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Which of the following functions of time represent (a) periodic and (b) non-periodic motion? Give the period for each case of periodic motion [ω is any positive constant].
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Mar 19, 2022
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11th Physics
marks2
chapter14
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Which of the following functions of time represent (a) periodic and (b) non-periodic motion? Give the period for each case of periodic motion [ω is any positive constant]. log
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Mar 19, 2022
in
11th Physics
marks2
chapter14
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Which of the following functions of time represent (a) simple harmonic motion and (b) periodic but not simple harmonic? Give the period for each case. (1) sin ωt – cos ωt (2) `sin^2
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Mar 19, 2022
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11th Physics
marks2
chapter14
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The figure given below depicts two circular motions. The radius of the circle, the period of revolution, the initial position and the sense of revolution are indicated in the figures. Obtain the simple harmonic motions of the x-projection of the radius vector of the rotating particle P in each case.
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Mar 19, 2022
in
11th Physics
marks2
chapter14
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A body oscillates with SHM according to the equation (in SI units), x = 5 cos [2π t + π/4]. At t = 1.5 s, calculate the (a) displacement, (b) speed and (c) acceleration of the
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Mar 19, 2022
in
11th Physics
marks2
chapter14
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Two identical springs of spring constant k are attached to a block of mass m and to fixed supports as shown in Fig.. Show that when the mass is displaced from its equilibrium position on either side, it executes a simple harmonic motion. Find the period of oscillations.
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Mar 19, 2022
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11th Physics
marks2
chapter14
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A block whose mass is 1 kg is fastened to a spring. The spring has a spring constant of 50 N `m^(–1)`. The block is pulled to a distance x = 10 cm from its equilibrium position at x = 0 on a frictionless surface from rest at t = 0. Calculate the kinetic, potential and total energies of the block when it is 5 cm away from the mean
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Mar 19, 2022
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11th Physics
marks2
chapter14
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A 5 kg collar is attached to a spring of spring constant 500 N `m^(–1)`. It slides without friction over a horizontal rod. The collar is displaced from its equilibrium position by 10.0 cm and released. Calculate (a) the period of oscillation, (b) the maximum speed and (c) maximum acceleration of the
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Mar 19, 2022
in
11th Physics
marks2
chapter14
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What is the length of a simple pendulum, which ticks seconds
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Mar 19, 2022
in
11th Physics
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chapter14
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For the damped oscillator shown in Fig., the mass m of the block is 200 g, k = 90 N `m^(–1)` and the damping constant b is 40 g `s^(–1)`. Calculate (a) the period of oscillation, (b) time taken for its amplitude of vibrations to drop to half of its initial value, and (c) the time taken for its mechanical energy to drop to half its initial value.
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Mar 19, 2022
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11th Physics
marks2
chapter14
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Which of the following examples represent periodic
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Mar 19, 2022
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11th Physics
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chapter14
#mcq
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Which of the following examples represent (nearly) simple harmonic motion and which represent periodic but not simple harmonic
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Mar 19, 2022
in
11th Physics
marks2
chapter14
#mcq
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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) ?
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Mar 19, 2022
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11th Physics
marks2
chapter14
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Which of the following functions of time represent (a) simple harmonic, (b) periodic but not simple harmonic, and (c) non-periodic motion?
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Mar 19, 2022
in
11th Physics
marks2
chapter14
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A particle is in linear simple harmonic motion between two points, A and B, 10 cm apart. Take the direction from A to B as the positive direction and give the signs of velocity, acceleration and force on the particle when it is (a) at the end A, (b) at the end B, (c) at the mid-point of AB going towards A, (d) at 2 cm away from B going towards A, (e) at 3 cm away from A going towards B, and (f) at 4 cm away from B going towards
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Mar 19, 2022
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11th Physics
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chapter14
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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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Mar 19, 2022
in
11th Physics
marks2
chapter14
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The motion of a particle executing simple harmonic motion is described by the displacement function, x(t) = A cos (ωt + φ ). If the initial (t = 0) position of the particle is 1 cm and its initial velocity is ω cm/s, what are its amplitude and initial phase angle ? The angular frequency of the particle is π `s^(–1)`. If instead of the cosine function, we choose the sine function to describe the SHM : x = B sin (ωt + α), what are the amplitude and initial phase of the particle with the above initial
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Mar 19, 2022
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11th Physics
marks2
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