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Jee2103 phy02 1tu_problems_for_circulation
1. JEE2103PHY02_1TU
TUTORIAL PROBLEMS
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2. Q1.
A particle initially at point moves finally to the point . Write
the initial position vector, final position vector and displacement vector of the
particle.
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3. Q2:
A particle has the following displacements in succession:
a) towards east.
b) towards north.
c) And vertically upwards.
Find the magnitude of the resultant displacement.
N
E
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4. Q3.
Determine a vector which when added to the resultant of and
gives unit vector along negative
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5. Q4.
If vectors , , and are coplanar, then find the value
of
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6. Q5.
Two forces of and are acting at a point at an angle of with each other.
Find out the magnitude and the direction of their resultant force.
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7. Q6.
Two forces of equal magnitudes are acting at a point. The magnitude of their
resultant is equal to magnitude of the either. Find the angle between the force
vectors.
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8. Q7.
The and components of vector are and , respectively. The and
components of vector are and respectively. Calculate for the vector
the followings:
a) Its and components.
b) Its length, assuming that and lie in .
c) And the angle it makes with the
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9. Q8.
If two vectors and be inclined at an angle of to each
other, then determine the direction and magnitude of their resultant.
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10. Q9.
Find a unit vector along and opposite to the vector .
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11. Q10.
a) Is the vector ( ) a unit vector? Justify your answer.
b) Can a unit vector have any rectangular component with a magnitude greater
than unity? Justify your answer.
c) If ), where is a constant, determine the value of that makes
a unit vector.
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12. Q11.
Resolve the vector along the directions of and and write
down the resolved components.
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