Oscillations
A particle is subjected simultaneously to two simple harmonic motions of the same frequency and direction in accordance with following equations: 1 x t = 6sin (cm) and x t 2 = + 8sin 3 ( ) (cm), = 2 rad/s. Find the amplitude of the resultant motion, and show it in graphical form.
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4. A particle is subjected simultaneously to two simple harmonic motions of the same angular frequency...
4. A particle is subjected simultaneously to two simple harmonic motions of the same angular frequency 2Ts and in the same direction. If their amplitudes are 4 cm and 3 cm respectively and the phase of the second component relative to the first is 90, find the amplitude of the resultant displacement and its phase relative to the first component. Write down the equation of resultant oscillations
osillation
A particle is simultaneously subjected to two SHM at right angles to each other. Their equations are x = 3cos 2pie t (cm), y =3cos (2pie t -pie/2 ) (cm). Construct the trajectory of the particle in the xy-plane and show the direction of the motion
3. A particle moving along the x axis in simple harmonic motion starts from its equilibrium...
3. A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin, at t=0 s and moves to the right. The amplitude of its motion is 2.00 cm, and the frequency is 1.50 Hz. (a) Determine the position, velocity, and acceleration equations for this particle. (b) Determine the maximum speed of this particle and the first time it reaches this speed after t=0 s.
ous fluid flowing from 22 A horizontal pipe nar orizontal pipe narrows from a diameter of...
ous fluid flowing from 22 A horizontal pipe nar orizontal pipe narrows from a diameter of 10 to 5 cm. For a nonviscous fluid flowin the larger diameter to the smaller, A) the velocity and pressure both increase. the velocity increases and the pressure decreases. c) the velocity decreases and the pressure increases. D) the velocity and pressure both decrease. - either the velocity or the pressure changes but not both. 23 A particle moving with a simple har e...
6. + -14 points SerPSE 10 15.A.P.033. An object attached to a spring vibrates with simple...
6. + -14 points SerPSE 10 15.A.P.033. An object attached to a spring vibrates with simple harmonic motion as described by the following figure. * (cm) 2.00 1.00 H 0.00 1 2 3 4 5 6 -1.00 -2.00 (a) For this motion, find the amplitude. (b) For this motion, find the period. (c) For this motion, find the angular frequency. rad/s (d) For this motion, find the maximum speed. cm/s (e) For this motion, find the maximum acceleration cm/s2 (f)...
(50%) Problem 2: An oscillating EMF causes a particle with a net electric charge of 1.6 md to und...
(50%) Problem 2: An oscillating EMF causes a particle with a net electric charge of 1.6 md to undergo constant uniform simple harmonic oscillation with an angular frequency of 3.5 x 106 rad/s and an amplitude of 2 cm. What is the average power (in W) radiated by the oscillating particle? Gra Ded avg
(50%) Problem 2: An oscillating EMF causes a particle with a net electric charge of 1.6 md to undergo constant uniform simple harmonic oscillation with an...
Problem3 A (2+0.1y) kg block attached to a spring undergoes simple harmonic motion described by x...
Can you please answer both questions, Y=0
Problem3 A (2+0.1y) kg block attached to a spring undergoes simple harmonic motion described by x (30 cm) cos[(6.28 rad/s)t + /4) Determine (a) the amplitude, (b) the spring constant, (c) the frequency, (d) the maximum speed (e) maximum acceleration of the block, and (e) the total energy of the spring-block. of the block Problem 4 A block attached to a spring, undergoes simple harmonic motion with a period of 1.5 + y)...
1. The amplitude of simple harmonic motion is 4 cm, a velocity at its equilibrium position is 2 m/s. Find the angular frequency of these oscillations and their period
1. The amplitude of simple harmonic motion is 4 cm, a velocity at its equilibrium position is 2 m/s. Find the angular frequency of these oscillations and their period
1 1 2 79.7% 1. A mass oscillating on a spring has a phase constantad, an...
1 1 2 79.7% 1. A mass oscillating on a spring has a phase constantad, an angular frequency w = π rad/s and an amplitude A 4.0 cm. (a) Draw a circle of radius 4.0 cm and indicate on the circle the phase constant, if the simple harmonic motion is well-described by the r-component of uniform čircular motion with the same angular speed as this angular frequency. /4 (b) Write an expression for the position, r(t), of the mass as...
A particle moving along the x axis in simple harmonic motion starts from its equilibrium position,...
A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin, at t = 0 and moves to the right. The amplitude of its motion is 3.50cm, and the frequency is 2.30 Hz. (a) Find an expression for the position of the particle as a function of time. (Use the following as necessary: t. Assume that x is in centimeters and t is in seconds. Do not include units in your answer.) x...
4. A particle is subjected simultaneously to two simple harmonic motions of the same angular frequency 2Ts and in the same direction. If their amplitudes are 4 cm and 3 cm respectively and the phase of the second component relative to the first is 90, find the amplitude of the resultant displacement and its phase relative to the first component. Write down the equation of resultant oscillations
3. A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin, at t=0 s and moves to the right. The amplitude of its motion is 2.00 cm, and the frequency is 1.50 Hz. (a) Determine the position, velocity, and acceleration equations for this particle. (b) Determine the maximum speed of this particle and the first time it reaches this speed after t=0 s.
ous fluid flowing from 22 A horizontal pipe nar orizontal pipe narrows from a diameter of 10 to 5 cm. For a nonviscous fluid flowin the larger diameter to the smaller, A) the velocity and pressure both increase. the velocity increases and the pressure decreases. c) the velocity decreases and the pressure increases. D) the velocity and pressure both decrease. - either the velocity or the pressure changes but not both. 23 A particle moving with a simple har e...
6. + -14 points SerPSE 10 15.A.P.033. An object attached to a spring vibrates with simple harmonic motion as described by the following figure. * (cm) 2.00 1.00 H 0.00 1 2 3 4 5 6 -1.00 -2.00 (a) For this motion, find the amplitude. (b) For this motion, find the period. (c) For this motion, find the angular frequency. rad/s (d) For this motion, find the maximum speed. cm/s (e) For this motion, find the maximum acceleration cm/s2 (f)...
(50%) Problem 2: An oscillating EMF causes a particle with a net electric charge of 1.6 md to undergo constant uniform simple harmonic oscillation with an angular frequency of 3.5 x 106 rad/s and an amplitude of 2 cm. What is the average power (in W) radiated by the oscillating particle? Gra Ded avg
(50%) Problem 2: An oscillating EMF causes a particle with a net electric charge of 1.6 md to undergo constant uniform simple harmonic oscillation with an...
Can you please answer both questions, Y=0
Problem3 A (2+0.1y) kg block attached to a spring undergoes simple harmonic motion described by x (30 cm) cos[(6.28 rad/s)t + /4) Determine (a) the amplitude, (b) the spring constant, (c) the frequency, (d) the maximum speed (e) maximum acceleration of the block, and (e) the total energy of the spring-block. of the block Problem 4 A block attached to a spring, undergoes simple harmonic motion with a period of 1.5 + y)...
1 1 2 79.7% 1. A mass oscillating on a spring has a phase constantad, an angular frequency w = π rad/s and an amplitude A 4.0 cm. (a) Draw a circle of radius 4.0 cm and indicate on the circle the phase constant, if the simple harmonic motion is well-described by the r-component of uniform čircular motion with the same angular speed as this angular frequency. /4 (b) Write an expression for the position, r(t), of the mass as...
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