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A bead B of mass 'm' can travel without frictionn on a smooth horizontalwire "xx"^('). The bead is connected to a block of identical mass by an ideal string passing over an ideal pulley. The system, as shown, is in vertical plane. The system is allowed to fall. Find the speed of block A at the instant when string connected to the bead B makes an angle 37^(@) with vertical. |
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Answer» `SQRT(AG)` `h=a/(COS60^(@))-a/(cos 37^(@))=(3a)/4` `mgh=1/2 mv_(A)^(2)+1/2 mv_(B)^(2)` Also, `v_(B)sin 37^(@)=v_(A)` `implies (3ag)/4=(v_(A)^(2))/2[1+(5/2)^(2)]` `=v_(A)=3/2 sqrt((3ag)/17)` |
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