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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 20th September 2019, 6:29 PM
Answered by 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 Expert 20th September 2019, 7:42 PM
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