1
GATE ME 2022 Set 2
Numerical
+1
-0

A rope with two mass-less platforms at its two ends passes over a fixed pulley as shown in the figure. Discs with narrow slots and having equal weight of 20 N each can be placed on the platforms. The number of discs placed on the left side platform is n and that on the right side platform is m.

It is found that for n = 5 and m = 0, a force F= 200 N (refer to part (i) of the figure) is just sufficient to initiate upward motion of the left side platform. If the force F is removed then the minimum value of m (refer to part (ii) of the figure) required to prevent downward motion of the left side platform is (in integer).

GATE ME 2022 Set 2 Engineering Mechanics - Engineering Mechanics Static and Dynamics Question 7 English
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2
GATE ME 2022 Set 1
Numerical
+1
-0

The plane of the figure represents a horizontal plane. A thin rigid rod at rest is pivoted without friction about a fixed vertical axis passing through O. Its mass moment of inertia is equal to 0.1 kg∙cm2 about O. A point mass of 0.001 kg hits it normally at 200 cm/s at the location shown, and sticks to it. Immediately after the impact, the angular velocity of the rod is ___________ rad/s (in integer).

GATE ME 2022 Set 1 Engineering Mechanics - Engineering Mechanics Static and Dynamics Question 14 English
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3
GATE ME 2017 Set 1
MCQ (Single Correct Answer)
+1
-0.3
A Particle of unit mass is moving on a plane. Its trajectory, in polar coordinates, is given by $$r\left( t \right) = {t^2},\theta \left( t \right) = t,$$ where $$t$$ is time. The kinetic energy of the particle at time $$t=2$$ is
A
$$4$$
B
$$12$$
C
$$16$$
D
$$24$$
4
GATE ME 2017 Set 1
Numerical
+1
-0
The following figure shows the velocity- time plot for a particle traveling along a straight line. The distance covered by the particle from $$t = 0$$ to $$t= 5$$ $$s$$ is __________$$m.$$ GATE ME 2017 Set 1 Engineering Mechanics - Engineering Mechanics Static and Dynamics Question 68 English
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