In addition, the magnitude of their resultant is also equal to the magnitude of either of them. The resultant of two vectors, 3 unit along east and 4 unit along north is. One of the rectangular components of a vector 80 unit is 40 unit, the other component is. Physics Most Viewed Questions.
The phase difference between displacement and acceleration of a particle in a simple harmonic motion is: NEET Oscillations. The energy equivalent of 0. Two cylinders A and B of equal capacity are connected to each other via a stop clock. A contains an ideal gas at standard temperature and pressure.
B is completely evacuated. The entire system is thermally insulated. The stop cock is suddenly opened. A screw gauge has least count of 0. For which one of the following, Bohr model is not valid? NEET Atoms. Remember that wavelength is given by. Determine the period of a sine wave that has a frequency of. Period is given by: where is frequency. If you've found an issue with this question, please let us know.
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Email address: Your name:. Possible Answers:. Correct answer:. Explanation : We need to know three things to solve this problem. Formula for frequency of a spring in simple harmonic motion The spring constant Mass of object attached to spring We're given 2 and 3, so we just need to know 1. The formula for frequency is: Plugging in our values, we get: Now we need to convert Hertz cycles per second to cycles per minute.
To get to these units:. Report an Error. Consider the following system: If the period of the pendulum is , what is the length of the string?
Explanation : We simply need the expression for the period of a pendulum to solve this problem: Rearranging for length, we get: We have all of these values, allowing us to solve:. Consider the following system: If the mass reaches a maximum height of and the minimum angle is , what is the period of the pendulum? Explanation : First, we will be using the equation for the period of a pendulum: The only value we don't have is length.
We can rewrite this as: Substituting this into the original expression for the period, we get: We can use our given values to solve:. Explanation : For a mass-spring system undergoing simple harmonic motion, the frequency of the oscillations can be found using the equation We were given the force constant or spring constant , , to be.
Explanation : We were given the mass of the system as g. Since , we can convert by They also told us the period of the oscillations, which is 0. We can use the following equation to solve for the force constant: Rearrange the equation to isolate the variable , and substitute in the known values to solve for : Now that we have the force constant, , we can use this to help us find the amplitude of the oscillations.
The equation for the energy of a mass-spring oscillating system is: is the total potential energy of the system. Explanation : The equation that relates the period of a pendulum and its length is We know the period of the pendulum on Earth, which was given, to be 1.
So, we can find the length of the pendulum: Now that we have the length of the pendulum, we can use this to calculate what the period of oscillation will be if the pendulum was on the Moon where the "g" is not the same as on Earth, but rather is. Explanation : Equation for period of a pendulum: Solve. The student releases the oscillator from rest and uses a sensor and computer to find the equation of motion for the oscillator: The student then replaces the weight with a weight whose mass, is twice as large as that of the original weight.
Explanation : The equation of motion for an oscillator is: In words, the position as a function of time equals the amplitude times the cosine of the sum of the frequency in radians per second times time plus phase. Given that the Fourier Transform is given by the series: Where is an arbitrary length and is an integer, what is the wavelength of the sinusoid when?
Explanation : First, we want to ignore the summation sign and the since those terms do not affect the wavelength at. For , we get the sinusoid: Remember that wavelength is given by. Explanation : Period is given by: where is frequency. Remember Me! Don't have account, Sign Up Here. Forgot Password. You must login to ask question. Ask A Question. In Process. A small mass rests on a horizontal platform which vibrate in simple harmonic motion with a period of 0.
Find the maximum amplitude of the moon which will allow to the mass to remain in contact with platform throughout the motion. Share Facebook. Related Questions How is progressive wave different from a stationary wave?
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