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Standard VI
Mathematics
Patterns
Derivations o...
Question
Derivations of square root (5gl) for a simple pendulum of length l , horizontal velocity v^°
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Q.
The bob of a pendulum at rest is given a sharp hit to impart a horizontal velocity of
μ
=
√
5
g
l
, where
l
is the length of the pendulum . Find the height from the lowermost point at which tension is zero.
Q.
The bob of a pendulum at rest is given a sharp hit to impart a horizontal velocity of
μ
=
√
5
g
l
, where
l
is the length of the pendulum . Find the height from the lowermost point at which tension is zero.
Q.
The bob of a simple pendulum at rest position is given a velocity V in horizontal direction so that bob describes verticle circle of radius equal to length of pendulum L . If the tension in string is 4 times weight of of bob when the string is horizontal , the velocity of bob :
Q.
The time period of a simple pendulum is directly proportional to the square root of the length of the pendulum.
Q.
The bob of a simple pendulum at rest position is given a velocity
V
in horizontal direction so that the bob describes vertical circle of radius equal to length of pendulum
l
. If the tension in string is
4
times weight of bob when the string is horizontal, the velocity of bob when it is crossing highest point of vertical circle is:
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