A particle P of mass m = 3.5 kg arrives at point O with a horizontal velocity vo and starts rolling down a circle with radius R = 2 m. The particle is attached to the point O by means of a linear spring of stiffness k = 70 N/m that is unstretched when the particle is at O. Assume that during the motion of P along the circle, the spring follows the circle. Let N = {n, ny} be a fixed reference frame as shown in the figure and let B = {b, by} be a reference frame attached to P so that b is tangent to the circular path and by is perpendicular to the circular path. For convenience, take g = in this question. 10 m/s²

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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A particle P of mass m = = 3.5 kg arrives at point O with a horizontal velocity vo and starts rolling
down a circle with radius R = 2 m. The particle is attached to the point O by means of a linear spring
of stiffness k = 70 N/m that is unstretched when the particle is at O. Assume that during the motion
of P along the circle, the spring follows the circle. Let N = {n, ny} be a fixed reference frame as
shown in the figure and let B = {b, by} be a reference frame attached to P so that b is tangent
to the circular path and by is perpendicular to the circular path. For convenience, take g = 10 m/s²
in this question.
O
ny
a)
Determine the Direction Cosine Matrices [C]B and BCN.
N
nx
IP
Transcribed Image Text:A particle P of mass m = = 3.5 kg arrives at point O with a horizontal velocity vo and starts rolling down a circle with radius R = 2 m. The particle is attached to the point O by means of a linear spring of stiffness k = 70 N/m that is unstretched when the particle is at O. Assume that during the motion of P along the circle, the spring follows the circle. Let N = {n, ny} be a fixed reference frame as shown in the figure and let B = {b, by} be a reference frame attached to P so that b is tangent to the circular path and by is perpendicular to the circular path. For convenience, take g = 10 m/s² in this question. O ny a) Determine the Direction Cosine Matrices [C]B and BCN. N nx IP
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