1.

A rectangular box lies on a rough inclined surface. The coefficient of friction between the surface and the box is mu. Let the mass of the box be m. (a) At what angle of inclination 0 of the plane to the horizontal will the box just start to slide down the plane ? (b) What is the force acting on the box down the plane, if the angle of inclination of the plane is increased to a gt theta (c) What is the force needed to be applied upwards along the plane to make the box either remain stationary or just move up with uniform speed ? (d) What is the force needed to be applied upwards along the plane to make the box move up the plane with acceleration a ?

Answer» <html><body><p></p><a href="https://interviewquestions.tuteehub.com/tag/solution-25781" style="font-weight:bold;" target="_blank" title="Click to know more about SOLUTION">SOLUTION</a> :Considerdiagram <a href="https://interviewquestions.tuteehub.com/tag/shownin-1206577" style="font-weight:bold;" target="_blank" title="Click to know more about SHOWNIN">SHOWNIN</a> figure <br/> <img src="https://doubtnut-static.s.llnwi.net/static/physics_images/KPK_AIO_PHY_XI_P1_C05_E04_041_S01.png" width="80%"/> <br/> (a ) For bxjuststartsto sliding downslope<br/> `<a href="https://interviewquestions.tuteehub.com/tag/f-455800" style="font-weight:bold;" target="_blank" title="Click to know more about F">F</a> = mg sin theta` <br/> `N=m g <a href="https://interviewquestions.tuteehub.com/tag/cos-935872" style="font-weight:bold;" target="_blank" title="Click to know more about COS">COS</a> theta` <br/> `(f )/(N )= tan theta` <br/> `<a href="https://interviewquestions.tuteehub.com/tag/mu-566056" style="font-weight:bold;" target="_blank" title="Click to know more about MU">MU</a> = tan theta` <br/>`theta= tan ^(-1)(mu)` <br/> ( b)Whenangle ofinclinationincreasedto <br/> `alpha gttheta` <br/> Resultantforcebe `F_(1)` <br/> `F_(1)= mgsin alpha- f`<br/> (c ) Tokeepboxstationaryor movingwithuniformspeedupwardforceir requiredHerefrictionforcewouldbed indownwarddirection <br/> (d ) Whenbox isto bemovedwithaccelerationa upwardalong theplanenet forcebe `F_(3)` <br/>frictionwouldbe indownwarddirection <br/> `F_(3)= mg (sinalpha+ mu cos alpha )+ ma`</body></html>


Discussion

No Comment Found

Related InterviewSolutions