Engineering Sciences
2018 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE XE 2018 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 76–78 of 175. Imported answers require review unless explicitly marked reviewed.
Question 11
Open questionXE-DMCQ2 marksNeeds review
A horizontal effort
is applied to raise a block of weight
on a rough surface inclined at an angle
with the horizontal. If
is the coefficient of static friction between the block and the surface, the minimum effort
required to impend the upward motion of the block along the surface is 
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Open questionXE-DMCQ2 marksNeeds review
Three round bars of same material, equal lengths, and different cross-sectional dimensions are shown in the figures as Case-I, Case-II and Case-III. All the bars are clamped at the upper end, and a concentrated load
is applied at the lower end of each bar. If the elastic strain energy stored in the bar shown in Case-I is
then the elastic strain energy stored in Case-II and Case-III respectively is 
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Open questionXE-DMCQ2 marksNeeds review
A rigid uniform rod with mass
, length
and center of gravity
is freely suspended from a hinge as shown in the figure. The rod is given a small angular displacement
in the counter-clockwise direction from the position in which it hangs vertically (
). If
is the acceleration due to gravity, the natural frequency of oscillations (in rad/s) is 
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