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A uniform rod of mass M = 2 kg and length L = 1.5 m is attached to a wall with a frictionless pivot and a string as shown in the diagram above. The initial angle of the rod with respect to the wall, is = 39º. The string is then cut. The moment of inertia of a rod about an axis through one end is 1/3ML². What is the angular acceleration of the rod, a, immediately after the string is cut? A: a = 6.17 rad/s² What is the angular velocity w of the rod when it is horizontal (0 = 90°)? A: w 3.9 rad/sec 0 ΔΕ(m) = 0 T net, P = la 2 2 Iw₁² + MgYcm1 = Iw² + MgYcm0

A uniform rod of mass M = 2 kg and length L = 1.5 m is attached to a wall with a frictionless pivot and a string as shown in the diagram above. The initial angle of the rod with respect to the wall, is = 39º. The string is then cut. The moment of inertia of a rod about an axis through one end is 1/3ML². What is the angular acceleration of the rod, a, immediately after the string is cut? A: a = 6.17 rad/s² What is the angular velocity w of the rod when it is horizontal (0 = 90°)? A: w 3.9 rad/sec 0 ΔΕ(m) = 0 T net, P = la 2 2 Iw₁² + MgYcm1 = Iw² + MgYcm0

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A uniform rod of mass M = 2 kg and length L = 1.5 m is attached to a wall with a frictionless pivot and a string as shown in the diagram above. The initial angle of the rod with respect to the wall, is = 39º. The string is then cut. The moment of inertia of a rod about an axis through one end is 1/3ML². What is the angular acceleration of the rod, a, immediately after the string is cut? A: a = 6.17 rad/s² What is the angular velocity w of the rod when it is horizontal (0 = 90°)? A: w 3.9 rad/sec 0 ΔΕ(m) = 0 T net, P = la 2 2 Iw₁² + MgYcm1 = Iw² + MgYcm0
Transcribed Image Text:A uniform rod of mass M = 2 kg and length L = 1.5 m is attached to a wall with a frictionless pivot and a string as shown in the diagram above. The initial angle of the rod with respect to the wall, is = 39º. The string is then cut. The moment of inertia of a rod about an axis through one end is 1/3ML². What is the angular acceleration of the rod, a, immediately after the string is cut? A: a = 6.17 rad/s² What is the angular velocity w of the rod when it is horizontal (0 = 90°)? A: w 3.9 rad/sec 0 ΔΕ(m) = 0 T net, P = la 2 2 Iw₁² + MgYcm1 = Iw² + MgYcm0
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