A pendulum of length 1 m swings from the extreme right position to the extreme left position back and forth continuously. The angle 0 between the pendulum and the equilibrium position (i.e. the dotted line) is given by 0 = k cos (9.8 t) where time t is measured in seconds and k is a constant. de known as the angular velocity, measures the instantaneous rate dt The derivative of change of the angle 0 at time t. (a) Derive a formula for the angular velocity in terms of k and t. (b) Find a non-zero value t when the pendulum reaches a stationary point. What does this value t means? (- ve) (+ ve) (c) Interpret what k is in the equation 0 = k cos (V9.8 t). %3D
A pendulum of length 1 m swings from the extreme right position to the extreme left position back and forth continuously. The angle 0 between the pendulum and the equilibrium position (i.e. the dotted line) is given by 0 = k cos (9.8 t) where time t is measured in seconds and k is a constant. de known as the angular velocity, measures the instantaneous rate dt The derivative of change of the angle 0 at time t. (a) Derive a formula for the angular velocity in terms of k and t. (b) Find a non-zero value t when the pendulum reaches a stationary point. What does this value t means? (- ve) (+ ve) (c) Interpret what k is in the equation 0 = k cos (V9.8 t). %3D
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5.
A pendulum of length 1 m swings from the extreme right position to the extreme
left position back and forth continuously. The angle 0 between the pendulum and
the equilibrium position (i.e. the dotted line) is given by 0 = k cos(/9.8 t) where
time t is measured in seconds and k is a constant.
do
known as the angular velocity, measures the instantaneous rate
dt
The derivative
of change of the angle 0 at time t.
(a) Derive a formula for the angular velocity in terms
of k and t.
(b) Find a non-zero valuet when the pendulum reaches
a stationary point. What does this value t means?
(- ve) (+ ve)
(c) Interpret what k is in the equation 0 = k cos (9.8 t).
(d) What is the angular velocity of the pendulum at the
instant when it is at the equilibrium position after
swinging from right to left?
%3D
e = 0
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