Answered: a) Determine the angular momentum (Ho)A…

a) Determine the angular momentum (Ho)A of the particle about point O at position A. b) Find the magnitude vB of the particle’s velocity at position B. c) Determine the springs stiffness k.

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Question

A particle with a mass of = 3 kg is connected to a spring and it slides on a smooth horizontal surface. The spring’s unstretched length is h = 100 mm. The spring is connected at point O. The velocity of the particle at position A has a magnitude v_A = 4 m/s and makes an angle of 54° with the spring at that instant. The velocity of the particle at position B makes an angle of 65° with the spring at that later instant.

a) Determine the angular momentum (H_o)_A of the particle about point O at position A.

b) Find the magnitude v_B of the particle’s velocity at position B.

c) Determine the springs stiffness k.

350 mm
А
wwww
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54°
VA = 4 m/s
B
65°
230 mm

Definition Definition Product of the moment of inertia and angular velocity of the rotating body: (L) = Iω Angular momentum is a vector quantity, and it has both magnitude and direction. The magnitude of angular momentum is represented by the length of the vector, and the direction is the same as the direction of angular velocity.

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