1.

A simple pendulum is suspended from the roof of a trolley that moves freely down a plane of inclination theta. What is the time period of oscillation ? What is the angle made by the string with the inclined plane in the mean position ?

Answer» <html><body><p></p>Solution :The effective <a href="https://interviewquestions.tuteehub.com/tag/acceleation-2395037" style="font-weight:bold;" target="_blank" title="Click to know more about ACCELEATION">ACCELEATION</a> g. is the <a href="https://interviewquestions.tuteehub.com/tag/resultant-1187362" style="font-weight:bold;" target="_blank" title="Click to know more about RESULTANT">RESULTANT</a> of g acting <a href="https://interviewquestions.tuteehub.com/tag/vertically-3260386" style="font-weight:bold;" target="_blank" title="Click to know more about VERTICALLY">VERTICALLY</a> downwards and the inertial acceleration g `sin theta` acting up the <a href="https://interviewquestions.tuteehub.com/tag/plane-1155510" style="font-weight:bold;" target="_blank" title="Click to know more about PLANE">PLANE</a>. <br/>`g. = sqrt(g^2 + g^2 sin^2 theta + 2(g)(g sin theta) cos (90^@ +theta))`<br/>`=gsqrt(1+sin^2theta - 2 sin^2 theta) = g cos theta` <br/>Time <a href="https://interviewquestions.tuteehub.com/tag/period-1151023" style="font-weight:bold;" target="_blank" title="Click to know more about PERIOD">PERIOD</a> T=` 2pi sqrt((1)/(g cos theta))` <br/><img src="https://doubtnut-static.s.llnwi.net/static/physics_images/AKS_ELT_AI_PHY_XI_V01_C_C05_SLV_055_S01.png" width="80%"/></body></html>


Discussion

No Comment Found

Related InterviewSolutions