1
GATE ME 2008
MCQ (Single Correct Answer)
+1
-0.3
A straight rod length $$L(t),$$ hinged at one end freely extensible at the other end, roates through an angle $$\theta \left( t \right)$$ about the hinge. At time $$t,$$ $$L(t)=1m,$$ $$L(t)=1m/s,$$ $$\theta \left( t \right) = \pi /4$$ rad and $$\mathop \theta \limits^ \cdot \left( t \right) = 1\,\,rad/s.$$ The magnitude of the velocity at the other end of the rod is
A
$$1$$ $$m/s$$
B
$${\sqrt 2 m/s}$$
C
$${\sqrt 3 m/s}$$
D
$$2$$ $$m/s$$
2
GATE ME 2007
MCQ (Single Correct Answer)
+1
-0.3
During inelastic collision of two particles, which one of the following is conserved?
A
Total linear momentum only
B
Total kinetic energy only
C
Both linear momentum and kinetic energy
D
Neither linear momentum nor kinetic energy
3
GATE ME 2005
MCQ (Single Correct Answer)
+1
-0.3
A simple pendulum of length 5m, with a bob of mass 1 kg, is in simple harmonic motion. As it passes through its mean position, the bob has a speed of 5m/s. the net force on the bob at the mean position is
A
zero
B
2.5N
C
5N
D
25N
4
GATE ME 2005
MCQ (Single Correct Answer)
+1
-0.3
The time variation of the position of a particle in rectilinear motion is given by $$x = 2{t^3} + {t^2} + 2t$$. If 'V' is the velocity and 'a' acceleration of the particle in consistent units, the motion started with
A
$$V=0,$$ $$a=0$$
B
$$V=0,$$ $$a=2$$
C
$$V=2,$$ $$a=0$$
D
$$V=2,$$ $$a=2$$
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