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An object kept on a smooth inclined plane of 1 in l can be kept stationary relative to the incline by giving a horizontal acceleration of _______ to the inclined plane. Fill in the blank with the correct option: A. g/√l^2-1 B. g/√1-l^2 C. g√l^2-1 D. 1/g√1-l^2
Asked by Sridevi | 20 Sep, 2019, 18:29: PM
answered-by-expert Expert Answer
Let's assume that the horizontal acceleration given to the inclined plane be a
 
For the block to stay the components of the Psuedo force and gravitational force should balance each other 
 
C o m p o n e n t space o f space d o w n w a r d space a c t i n g space f o r c e space d u e space t o space g r a v i t y equals m g sin theta C o m p o n e n t space o f u p w a r d space a c t i n g space p s u e d o space f o r c e equals m a C o s theta m a C o s theta equals m g sin theta a equals g tan theta N o w S i n theta equals 1 over l tan theta equals fraction numerator 1 over denominator square root of l squared minus 1 end root end fraction T h e r e f o r e a equals g cross times fraction numerator 1 over denominator square root of l squared minus 1 end root end fraction a equals fraction numerator g over denominator square root of l squared minus 1 end root end fraction
Answered by Utkarsh Lokhande | 20 Sep, 2019, 19:42: PM
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