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A thin unifor...

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A thin uniform rod of mass 1 kg and length 0.3 mis smoothly hinged at one end. The rod is released from horizontal position and allowed to rotate invertical plane. The angular velocity of the rod when it becomes vertical is (g 10 m/s2)10(1) 5/3 rad/srad/s(2)3(4) 10/3 rad/s(3)/10 rad/s

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Q. A uniform rod of length 50 cm is released in the vertical plane from the position shown in figure. The rod is hinged smoothly at O. The angular speed of rod when it becomes horizontal is :

Q. A thin uniform rod of mass 1 kg and length 0.3 m is smoothly hinged at its one end. The rod is released from horizontal position and allowed to rotate in vertical plane. The angular velocity of the rod when it becomes vertical is (g = 10 m/s²)

1 kg द्रव्यमान तथा 0.3 m लम्बाई की एक पतली समरूप छड़ अपने एक सिरे पर सुगमता से कीलकित है। छड़ को क्षैतिज स्थिति से छोड़ा जाता है तथा ऊर्ध्वाधर तल में घूर्णन करने दिया जाता है। जब छड़ ऊर्ध्वाधर हो जाती है, तब इसका कोणीय वेग है (g = 10 m/s²)

Q. A uniform rod of length

l = 3 m

free to rotate in a vertical plane about a fixed horizontal axis passing through

O

. The rod is allowed to rotate by releasing from it's vertical position. Find the angular velocity of the rod when rod makes an angle

θ = 60^{\circ}

with vertical. (take

g = 10 {m/s}^{2}

Q. A uniform thin rod of length

l

m

is hinged at a distance

l / 4

from one of the end released from horizontal position as shown in figure. The angular velocity of the rod as it passes the vertical position is

Q. A rod of mass

2 kg

1 m

is lying in the horizontal plane and pivoted about its one end. Initially, it is rotating about its pivoted end (axis perpendicular to horizontal plane) with an angular velocity

2 rad/s

. Suddenly, an angular impulse

\to J

is given to the rod, because of which its angular velocity becomes

10 rad/s

. Find the magnitude of angular impulse

\to J

.

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