Physics
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 period.
13
Nov
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 period. 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 period. November 13, 2020 [...]
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 places 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 kg.
13
Nov
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 places on it. Also the amplitude of oscillation decreases by 50% during one complete oscillation. Estimate the values of (a) the spring constant [...]
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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 ? ,
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, figure. 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.
13
Nov
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, figure. Show that when the ball is pressed down a little and released, it executes SHM. Obtain an expression for the time period [...]
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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 ,
figure. 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. ,
One end of a U-tube containing mercury is connected to a suction pump and the other end is connected to the atmosphere. A small pressure difference is maintained between the two columns. Show that when the suction pump is removed, the liquid in the U-tube executes SHM.
13
Nov
One end of a U-tube containing mercury is connected to a suction pump and the other end is connected to the atmosphere. A small pressure difference is maintained between the two columns. Show that when the suction pump is removed, the liquid in the U-tube executes SHM. In Millikan's oil drop experiment The cylindrical tube [...]
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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 cylindrical piece of cork of base area A and height h floats in a liquid of density ρ1. The cork is depressed slightly and then released. Show that the cork oscillates up and down simple harmonically with a period T = 2π hρ/ρ1g−−−−√ where ρ is the density of cork. (Ignore damping due to viscosity of the liquid).
13
Nov
A cylindrical piece of cork of base area A and height h floats in a liquid of density ρ1. The cork is depressed slightly and then released. Show that the cork oscillates up and down simple harmonically with a period T = 2π hρ/ρ1g−−−−√ where ρ is the density of cork. (Ignore damping due to [...]
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 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 ?
13
Nov
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 ? [...]
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 ? ,
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 s^−2 )
13
Nov
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 s^−2 ) In Millikan's oil drop [...]
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 ? ,
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 [...]
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 ? ,
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 ). ,