InterviewSolution
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InterviewSolution
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A small ball travels with a speed vo over a fixed wedge as shown in the figure. The minimum value of so that the particle doesn't hit the inclined plane, will beO tan/29HCOSVo√29H)O tan-1 IgH |
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Answer» tion:Method 1 : Analysis of forces on m relative to groundIF the MOTION of m is analyzed from ground, its acceleration is A and the forces acting on it are its weight MG and normal reaction N. Asm is at rest, moving with same acceleration as wedge in horizontal direction but in vertical direction, the block is at rest. ∑ F y =0⇒Ncosθ=mg........(i) ∑ F X =∑m i a i ⇒Nsinθ=mA.........(ii)On solving (i) and (ii), we get A=gtanθ and N= cosθmg Method 2 : Analysis of forces on m relative to the inclined planeIf the motion of m is analyzed from the view point of an observer STANDING on the inclined plane (i.e., relative to the plane), its acceleration is 0 and the forces acting on it are : its weight. the normal reaction and a pseudo force of magnitude mA towards left. mAsinθ=mAcosθ⇒ A=gtanθAlso: N=mgcosθ+mAsinθ mgcosθ+mgtanθsinθ= cosθmg solution |
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