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JEE Questions for Maths Statics And Dynamics Quiz 4 - MCQExams.com
JEE
Maths
Statics And Dynamics
Quiz 4
Let
ABC
be an equilateral triangle formed by weightless inextensible strings, the side
AB
is horizontal.
A
and
B
are tied to fixed points
D
and
E
by equal weightless inextensible strings
AD, BE
, a weight of
W
gram is attached at
C
. The angles
DAB, ABE
are each 150°. Then,which of the following statements is correct?
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The tensions in the strings AB, BC and CA are equal
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The tensions in the strings BE, AD are inversely proportional
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The tension in BE is less than the tension in AB
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The tension in AD is twice the tension in BC
The maximum and minimum magnitude of resultants of two forces are
P
1
and
P
2
, respectively. The magnitude of the resultant, when two forces are at a right angles, is
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0%
2)
0%
0%
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60°
0%
120°
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90°
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150°
The greatest and the least magnitudes of the resultant of two forces of constant magnitudes are
F
and
G
. When the forces act at an angle 2α , the magnitude of the resultant is
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0%
2)
0%
0%
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0%
0%
2)
0%
0%
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0%
0%
2)
0%
4 P
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None of these
If forces of magnitudes 12 kg-W, 5 kg-W and 13 kg-W act at a point are in equilibrium, then the angle between the first two forces is
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30°
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90°
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60°
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45°
With two forces acting at a point, the maximum effect is obtained when their resultant is 4 N. If they act at right angles, then their resultant is 3N. Then, the forces are
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0%
2)
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0%
The resultant
R
of two forces
P
and
Q
act at right angles to
P
. Then, the angle between the forces is
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0%
2)
0%
0%
The resultant
R
of two forces acting on a particle is at right angles to one of them and its magnitude is one-third of the other force. The ratio of larger force to smaller one is
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0%
3 : 2
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0%
2 : 1
Two trains
A
and
B
100 km apart are travelling towards each other with starting speeds of 50 km/h. The train
A
is accelerating at 18 km/h
2
and
B
deaccelerating at 18 km/h
2
. The distance, where the engines cross each other from the initial position of
A
, is
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50 km
0%
68 km
0%
32 km
0%
59 km
Two points move in the same straight line starting at the same moment from the same point in the same direction. The first moves with constant velocity
u
and the second starts from rest with constant acceleration
f
, the distance between the two points will be maximum at time
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0%
0%
2)
0%
0%
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