1.

The velocity - displacement (v-s) graph shows the motion of particle moving in a straight line. Velocity-displacement graph is a circle of radius 2 m and centre is at (2, 0) m. The value of acceleration for this particle at a point (2-sqrt2,sqrt2)m will be .............. ms^(-2).

Answer»

`sqrt2`
4
2
3

Solution :As, graph is a CIRCLE with centre (2, 0) and RADIUS 2, its equation is
`(s-2)^(2)+(v-0)^(2)=2^(2)`
`(s-2)^(2)+v^(4)=4`
Differentiating with respect to time, we get
`2(s-2)(DS)/(dt)+2v(DV)/(dt)=0`
`2(s-2)v+2v*a=0`
At, `s=2-sqrt2andv=sqrt2`
`2(2-sqrt2-2)xxsqrt2+2sqrt2a=0`
`rArr-4+2sqrt2a=0rArra=4/(2sqrt2)=sqrt2ms^(-2)`


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