A 1.5 kg mass is attached to a 1.6 m long rigid rod of negligible mass that 2. is anchored to the ceiling. The mass is pulled back to an initial angle of 45°and released with an initial speed of 3.0 m/s. Note: The mass is initially moving down not up! L m (a) (Hint: The height of the mass above its lowest point is L(1 – cos 0).] How fast is the mass moving at the bottoms of its swing, when 0 = 0°?

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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(b)
What maximum angle, 0max, will the mass
swing to?
Transcribed Image Text:(b) What maximum angle, 0max, will the mass swing to?
A 1.5 kg mass is attached to a 1.6 m long rigid rod of negligible mass that
is anchored to the ceiling. The mass is pulled back to an initial angle of 45°and released
with an initial speed of 3.0 m/s. Note: The mass is initially moving down not up!
2.
L
m
(a)
[Hint: The height of the mass above its lowest point is L(1 – cos 0).]
How fast is the mass moving at the bottoms of its swing, when 0 = 0°?
Transcribed Image Text:A 1.5 kg mass is attached to a 1.6 m long rigid rod of negligible mass that is anchored to the ceiling. The mass is pulled back to an initial angle of 45°and released with an initial speed of 3.0 m/s. Note: The mass is initially moving down not up! 2. L m (a) [Hint: The height of the mass above its lowest point is L(1 – cos 0).] How fast is the mass moving at the bottoms of its swing, when 0 = 0°?
Expert Solution
Step 1

Given data: - 

  • The mass m is m = 1.5 kg.
  • The initial pulled back angle is θ = 45o.
  • The initial velocity during release is v1 = 3 m/s.
  • The length of the rod is L = 1.6 m.
  • The height of the mass above its lowest position is h1L(1-cosθ).
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