Chapter 13 – Oscillations
Figure (a) attached 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) are released, what is the period of oscillation in each case ?
13
Nov
Figure (a) attached 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 [...]
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In Millikan's oil drop experiment ,
The cylindrical tube of a spray pump has a cross-section of 8.0 cm^2 one end of which has 40 fine holes each of diameter 1.0 mm. If the liquid flow inside the tube is 1.5 m min^−1 ,
Two narrow bores of diameters 3.0mm and 6.0 mm are joined together to form a U-shaped tube open at both ends. If the U-tube contains water ,
what is the speed of ejection of the liquid through the holes ? ,
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 it its maximum speed ?
13
Nov
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 it its maximum speed ? The piston in the cylinder head of a locomotive has a stroke (twice the amplitude) of [...]
Plot the corresponding reference circle for each of the following simple hormonic 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 ).
13
Nov
Plot the corresponding reference circle for each of the following simple hormonic 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 [...]
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and the angular speed of the rotating particle. For simplicity ,
Plot the corresponding reference circle for each of the following simple hormonic motions. Indicate the initial(t=0) position of the particle ,
the radius of the circle ,
the sense of rotation may be fixed to be anticlockwise in every case :(x is in cm and t is in s ). ,
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 anticlockwise) are indicated on each figure. Obtain the corresponding equations of simple harmonic motions of the revolving particle P in each case.
13
Nov
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 anticlockwise) are indicated on each figure. Obtain the corresponding equations of simple harmonic motions of the revolving particle P in each case. . Correspond to two circular motions. The [...]
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. Correspond to two circular motions. The radius of the circle ,
and the sense of revolution (i.e. clockwise or anticlockwise) are indicated on each figure. Obtain the corresponding equations of simple harmonic motions of the revolving particle P in each case. ,
Figures ,
the initial position ,
the period of revolution ,
A spring having with a spring constant 1200 N/m is mounted on a horizontal table as shown in the Figure. 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 mass.
13
Nov
A spring having with a spring constant 1200 N/m is mounted on a horizontal table as shown in the Figure. 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) [...]
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In Millikan's oil drop experiment ,
The cylindrical tube of a spray pump has a cross-section of 8.0 cm^2 one end of which has 40 fine holes each of diameter 1.0 mm. If the liquid flow inside the tube is 1.5 m min^−1 ,
Two narrow bores of diameters 3.0mm and 6.0 mm are joined together to form a U-shaped tube open at both ends. If the U-tube contains water ,
what is the speed of ejection of the liquid through the holes ? ,
A spring balance has a scale that reads from 0 to 50kg. The length of the scale is 20cm. A body suspended from this balance, when displaced and released, oscillates with period of 0.6s. What is the weight of the body ?
13
Nov
A spring balance has a scale that reads from 0 to 50kg. The length of the scale is 20cm. A body suspended from this balance, when displaced and released, oscillates with period of 0.6s. What is the weight of the body ? A spring balance has a scale that reads from 0 to 50kg. The [...]
The motion of a particle in S.H.M. is described by the displacement function, x=A cos(ωt+ϕ), If the initial (t=0) position of the particle is 1cm and its initial velocity is ωcms−1, what are its amplitude and initial phase angle ? The angular frequency of the particle is πs−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 conditions ?
13
Nov
The motion of a particle in S.H.M. is described by the displacement function, x=A cos(ωt+ϕ), If the initial (t=0) position of the particle is 1cm and its initial velocity is ωcms−1, what are its amplitude and initial phase angle ? The angular frequency of the particle is πs−1. If instead of the cosine function, we [...]
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If the initial (t=0) position of the particle is 1cm and its initial velocity is ωcms−1 ,
The motion of a particle in S.H.M. is described by the displacement function ,
we choose the sine function to describe the SHM : x = B sin(ωt+α) ,
what are its amplitude and initial phase angle ? The angular frequency of the particle is πs−1. If instead of the cosine function ,
what are the amplitude and initial phase of the particle with the above initial conditions ? ,
x=A cos(ωt+ϕ) ,
Which of the following relationships between the acceleration a and the displacement x of a particle involve simple harmonic motion ?
13
Nov
Which of the following relationships between the acceleration a and the displacement x of a particle involve simple harmonic motion ? Which of the following relationships between the acceleration a and the displacement x of a particle involve simple harmonic motion ? November 13, 2020 Category: Chapter 13 - Oscillations , NCERT Exemplar Class 11 [...]
As a graph are plot between displacement versus time we shall check for repetition to ascertain whether periodic or not. Also the minimum time span after which the plot repeats itself will be time period of the motion.
13
Nov
As a graph are plot between displacement versus time we shall check for repetition to ascertain whether periodic or not. Also the minimum time span after which the plot repeats itself will be time period of the motion. In Millikan's oil drop experiment The cylindrical tube of a spray pump has a cross-section of 8.0 [...]
Tags:
In Millikan's oil drop experiment ,
The cylindrical tube of a spray pump has a cross-section of 8.0 cm^2 one end of which has 40 fine holes each of diameter 1.0 mm. If the liquid flow inside the tube is 1.5 m min^−1 ,
Two narrow bores of diameters 3.0mm and 6.0 mm are joined together to form a U-shaped tube open at both ends. If the U-tube contains water ,
what is the speed of ejection of the liquid through the holes ? ,
A person normally weighing 50 kg stands on a massless platform which oscillates up and down harmonically at a frequency of 2.0s−1 and an amplitude 5.0 cm. A weighing machine on the platform gives the persons weight against time. (a) Will there be any change in weight of the body, during the oscillation? (b) If answer to part (a) is yes, what will be the maximum and minimum reading in the machine and at which position?
12
Nov
A person normally weighing 50 kg stands on a massless platform which oscillates up and down harmonically at a frequency of 2.0s−1 and an amplitude 5.0 cm. A weighing machine on the platform gives the persons weight against time. (a) Will there be any change in weight of the body, during the oscillation? (b) If [...]