A ball with a weight of 0.3N is attached to the end of an elastic thin cord of which unstretched length is 59cm. The other end of the cord is fixed at a point on the horizontal frictionless surface of a table. The stiffness of the cord is 20 N/m. At an instant, the ball moves with a velocity of 2.95 m/s which is perpendicular to the radius of curvature of the path of the ball and the length of the cord is 89cm at that instant. For the elastic cord to be stretched all the time during the motion of this ball, what is the minimum value of the velocity of the ball?
A ball with a weight of 0.3N is attached to the end of an elastic thin cord of which unstretched length is 59cm. The other end of the cord is fixed at a point on the horizontal frictionless surface of a table. The stiffness of the cord is 20 N/m. At an instant, the ball moves with a velocity of 2.95 m/s which is perpendicular to the radius of curvature of the path of the ball and the length of the cord is 89cm at that instant. For the elastic cord to be stretched all the time during the motion of this ball, what is the minimum value of the velocity of the ball?
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Dynamics
Transcribed Image Text:A ball with a weight of 0.3N is attached to the end of an elastic thin cord of which unstretched
length is 59cm. The other end of the cord is fixed at a point on the horizontal frictionless surface
of a table. The stiffness of the cord is 20 N/m. At an instant, the ball moves with a velocity of
2.95 m/s which is perpendicular to the radius of curvature of the path of the ball and the length
of the cord is 89cm at that instant. For the elastic cord to be stretched all the time during the
motion of this ball, what is the minimum value of the velocity of the ball?
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