A rod of length 1.5 m is attached to a spring of spring constant, k as...
A rod of length 1.5 m is attached to a spring of spring constant, k as shown in Fig. II-1. The rod is released from rest when 0 = 0°. While reaching the position 0 = 90°, the angular velocity of the rod was 2.32 rad/s. If the mass of the rod is m kg, determine the value of the spring constant, k. Assume that the spring is unstretched when 0–0°. Take the mass of the rod (m) as 49kg...
A slender 9 lb rod can rotate in a vertical plane about a pivot at B. A spring of constant k-30 lb/ft and of unstretched length 6 in. is attached to the rod as shown. The rod is released from rest in the position shown. 1) Determine its angular velocity after the rod has rotated through 45.(1 point) 2) Determine the reaction force at pivot point B after the rod rotated through 45. (1 point) 24 in 5 in. 4...
Include a constant counter clockwise moment of 40 lb.ft A slender 9-lb rod can rotate in a vertical plane about a pivot at B. A spring of constant k 30 lb/ft and of unstretched length 6 in. is attached to the rod as shown. Knowing that the rod is released from rest in the position shown, determine its angular velocity after it has rotated through 90 Fig. P17.18 24 in 5 in. 14in.
P3 (points) - The 15-kg slender rod is attached to a spring, which has an unstretched length of 3m. If the rod is released from rest when 0 = 45°, determine its angular velocity at the instant 0 = 60°. 5m B WWW 5m WW K= 50 N/m с
45. • A spring of unstretched length L and spring constant k is attached to a wall and an object of mass M resting on a fric- tionless surface (Figure 12-24). The object is pulled such that the spring is stretched a distance A then released. Let the +x direc- tion be to the right. (a) What is the position function x(t) for the object? Take x = 0 to be the position of the object when the spring is...
Question-5 (20%): 1.6 m M=15 Nm k = 60 N/m The 20-kg rod is released from rest when 0 = 0°.In the shown direction a moment of 15 Nm is applied. Determine the angular velocity of the rod when 0 = 90'. The unstretched length of the spring is 0.25 m. Note that 1. m1
Sample Problem 6. The 30 kg slender rod is released from rest when θ-00 (when rod OA is in the horizontal position). The spring is unstretched at θ-00. A constant clockwise moment of 10 N-m is applied to the rod. A force, P, of 20 N is applied and is always perpendicular to the rod. Determine the angular velocity of the rod when θ- 750. (Use the work-energy or conservation of energy method). 2 m 10 N-mm k80 N/m 1.5...
(b) (3 points) A ball of mass m is attached to a spring (with unstretched length lo and spring constant k) which hangs vertically. The ball is initially held at rest with the spring at its unstretched length. Then, the ball is let go. Consider the instant when the ball reaches its lowest position (the spring stretches to its maximum length and s instantaneously at rest), I was done by the spring force during this process (that is from release...
cription ructions The 20 kg rod AB is pin connected at A. if the rod is released from rest at -10° calculate the angular velocity of the rod at the horizontal position, where the spring is unstretched. The rod is 1.2 m long, and as it rotates the spring BC always remains horizontal because of the roller support at C. You may take the spring constant as k-40 N/S. If needed, you can assume that the unstretched length of the...
Problem 3: The collar of mass m rest on a smooth rod, attached to two springs of unstretched length I. If the collar is displaced a distance s and released from rest, determine its velocity at the instance it returns to the initial position s=0.