Two vectors a and b have equal magnitude of 12.7 units. They are oriented as shown in Figure-1.and their vector sum is r. Find (a).the x and y components of r. (b).the magnitude of r, and (c).the angle r makes with the +x axis.
Two vectors a and b have equal magnitude of 12.7 units. They are oriented as shown in Figure-1.and their vector sum is r. Find (a).the x and y components of r. (b).the magnitude of r, and (c).the angle r makes with the +x axis.
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Transcribed Image Text:Q No.3: Two vectors a and b have equal magnitude of 12.7 units. They are oriented as
shown in Figure-1.and their vector sum is r. Find (a).the x and y components of
r. (b).the magnitude of r, and (c).the angle r makes with the +x axis.
Q.No.4. Two vectors of magnitude a and b make an angle 0 with each other when placed
tail to tail. Prove by taking components along two perpendicular axis ,that the
magnitude of their sum is
r= y
Va? +b? + ab cos 6
Q.No.5. What minimum force F applied horizontally at an axle of the wheel in Figure-2
is necessary to raise the wheel over an object obstacle of height h? Take r as the
radius of the wheel and W is its weight.
Q.No.6.One of the uniform beam weighing 52.7 lb and 3.12 ft long is attached to a wall
with a hinge. The other end is supported by a wire making an angle of 270 with
the beam and wall. (a).Find the tension in the wire. (b).compute the horizontal
and vertical components of the force on the hinge. Figure-3
K 1050
270
h
a
28.20
270
Figure-2
Figure-1
Figure-3
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