GATE Civil Engineering (CE) 2018 Shift 1 Solved Paper

Question : 49 of 65

Marks: +1, -0

A cylinder of radius

250 {mm}

and weight,

{W}=10 {kN}

is rolled up an obstacle of height

50 {mm}

by applying a horizontal force

{P}

at its centre as shown in the figure.
All interfaces are assumed frictionless. The minimum value of

{P}

Solution:

By Lamis theorem

\;{ {P}}/{\sin (90+90-36.86)}=\;{ {w}}/{\sin (90+36.80)}=\;{ {R}}/{Sin 90}

{P}=\;{ {w} ⋅ \sin (143.14)}/{\sin (126.86)}( {w}=10 {KN})=7.49 {KN}

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