Engineering Sciences
2017 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE XE 2017 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 70–72 of 175. Imported answers require review unless explicitly marked reviewed.
Question 70
Open questionXE-DNAT2 marksNeeds review
In a pin-connected mechanism shown, load P applied at F is 50N. Neglect the weight of the links and assume
for the spring. The bars EH and FG are pinned at O at their centre such that the lengths of EO, GO, HO and FO are all equal to
. The spring between G and H is unstretched when
. The angle
(in degrees) under equilibrium is __________. 
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Open questionXE-DNAT2 marksNeeds review
The frame shown below carries a vertical load
at its free end D. The frame is fixed at A and has a roller support at B. Magnitude of the reaction force at B (in kN) is __________. Assume that the effect of the axial force on bending is negligible. 
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Open questionXE-DNAT2 marksNeeds review
Consider the system shown below. Mass
is fixed to the rod AC at a distance
from the hinge point at B. Two springs of stiffness 3K and K are attached to the rod at points A and C, respectively. The natural frequency of angular oscillation of the system about B is 20 rad/s. Assume the rod to be rigid and massless. Magnitude of
(in metres) is __________. (
, and
). 
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