Two simple harmonic motions are represented by the equations $$y1$$ $$=$$ $$0.1sin(100$$$$π$$$$t+$$π$$3)$$ and $$y2$$ $$=$$ $$0.1$$ $$cos$$ πt.. The phase difference of the velocity of particle $$1$$ with respect to the velocity of particle $$2$$ is

Question

Two simple harmonic motions are represented by the equations $$y1$$ $$=$$ $$0.1sin(100$$$$π$$$$t+$$π$$3)$$ and $$y2$$ $$=$$ $$0.1$$ $$cos$$ πt.. The phase difference of the velocity of particle $$1$$ with respect to the velocity of particle $$2$$ is

Infinity Learn · Accepted Answer

$$v1$$  $$=$$ $$dy1dt$$ $$=$$ $$0.1$$×$$100$$$$π$$$$cos$$$$(100$$$$π$$$$t+$$π$$3)v2$$ $$=$$ $$dy2dt$$ $$=$$ $$-0.1$$$$π$$$$sin$$ πt $$=$$ $$0.1$$π $$cos$$$$($$π$$t+$$π$$2)Phase$$ difference of velocity of first particle with respect to the velocity $$of2nd$$ particle at t $$=$$ $$0$$ is∆φ $$=$$ φ$$1-$$φ$$2$$ $$=$$ π$$3-$$π$$2$$ $$=$$ $$-$$π$$6$$

Two simple harmonic motions are represented by the equations $y_{1} = 0.1 \sin (100 πt + \frac{π}{3}) a n d y_{2} = 0.1 \cos πt .$ . The phase difference of the velocity of particle 1 with respect to the velocity of particle 2 is

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

Two simple harmonic motions are represented by the equations y1 = 0.1sin(100πt+π3) and y2 = 0.1 cos πt.. The phase difference of the velocity of particle 1 with respect to the velocity of particle 2 is

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

Two simple harmonic motions are represented by the equations $y_{1} = 0.1 \sin (100 πt + \frac{π}{3}) a n d y_{2} = 0.1 \cos πt .$ . The phase difference of the velocity of particle 1 with respect to the velocity of particle 2 is