GATE XE 2018 Paper 1 — page 29

Questions 85–87 of 175. Imported answers require review unless explicitly marked reviewed.

A rigid rod

, in the form of a quarter-circular arc of radius

, is hinged at

and supported by a roller at

. A vertical force

is applied at the end

of the bar. For the reactions at

and

to be equal in magnitude, the value of the angle

(in degrees) is ……… [up to two decimal places].

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A marble of mass

slides along a frictionless linear slide

kept in a vertical plane. The marble is released from point

with zero initial velocity, and it reaches point

under the action of gravity. Assuming the acceleration due to gravity to be 9.81 m/s

, the speed (in m/s) of the marble when it just reaches point

is……..[up to two decimal places].

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A horizontal force 10 N is applied at support

on the frame as shown in figure. Considering only bending deformation, the vertical reaction (in N) at support

is ……… [up to one decimal place]

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2018 · Paper 1