A long, uniform rod of length L = 1 metre and mass M = 2 kg is pivoted about a frictionless, horizontal pin through one end. Moment of inertia of a rod pivoted at one end = 1/3 ML². The rod starts to move from rest in a vertical position as shown in the figure. Take the x-axis as the reference position where gravitational potential energy is zero. Pin a. At the initial vertical position, the rod has b. At the final horizontal position, the rod has c. The angular speed of the rod at the horizontal position is The value of the initial energy is The value of the final energy is rad/s. [
A long, uniform rod of length L = 1 metre and mass M = 2 kg is pivoted about a frictionless, horizontal pin through one end. Moment of inertia of a rod pivoted at one end = 1/3 ML². The rod starts to move from rest in a vertical position as shown in the figure. Take the x-axis as the reference position where gravitational potential energy is zero. Pin a. At the initial vertical position, the rod has b. At the final horizontal position, the rod has c. The angular speed of the rod at the horizontal position is The value of the initial energy is The value of the final energy is rad/s. [
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Transcribed Image Text:A long, uniform rod of length L = 1 metre and mass M = 2 kg is pivoted about a frictionless, horizontal pin through one
end. Moment of inertia of a rod pivoted at one end = 1/3 ML². The rod starts to move from rest in a vertical position as
shown in the figure. Take the x-axis as the reference position where gravitational potential energy is zero.
Pin
a. At the initial vertical position, the rod has
b. At the final horizontal position, the rod has
c. The angular speed of the rod at the horizontal position is
The value of the initial energy is
The value of the final energy is
rad/s. [
d. At the horizontal position, the torque acting on the rod with respect to the pin is
e. The angular acceleration of the rod when it is at the horizontal position is
Nm.
rad/s2.
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