EXAMPLE 4.29 The slender bar, pinned smoothly at O, is released from rest in the position...
The 15-kg slender bar OA is released from rest in the vertical position and compresses thespring of stiffness k = 20 kN/m as the horizontal position is passed. Determine the propersetting of the spring, by specifying the distance h, that will result in the bar having an angularvelocity ω = 4 rad/s as it crosses the horizontal position. What is the effect of x on thedynamics of the problem?
include free body diagram . [18 pts] A uniform long slender bar of mass m 6.8 kg and length0.9 m is attached at one of its ends (A) to a horizontal rope while its other end (B) slides without friction on the floor. For the instant when the bar is released from rest in the configuration shown (where θ 45 degrees): (a) Develop expressions for a and ay, the accelerations of the bar's centre of mass in the along with...
A 12 kg slender rod is placed against the wall at an angle of 45 degrees as shown. If it is released from rest, determine the angular velocity of the rod at the instant just before it hits the ground (angle 0 degrees). Neglect friction. Moment of Inertia lg of rod-2 12 8 Bar AB is l0 k Spring unstrctched Starth from rest Hint: Tou k" A 12 kg slender rod is placed against the wall at an angle of...
A slender bar of mass m and length L is released from rest in a horizontal position. The work done by its weight when it has rotated through 90° is? m L - 8 (2) mg/2) mg(1/2) mgL
The 6.0-lb bar is pinned at its center O and connected to a torsional spring. The spring has a stiffness k = 5.6 lb?ft/rad , so that the torque developed is M=(5.6?)lb?ft, where ? is in radians. If the bar is released from rest when it is vertical at ?=90?, determine its angular velocity at the instant ?=45?.
The 23 lb bar is released from rest in the horizontal position 1 and falls to position 2. In addition to the force exerted on it by its weight, it is subjected to a constant counterclockwise couple 33 ft lb Part A Determine the bar's counterclockwise angular velocity in position 2. (Figure 1) Express your answer with the appropriate units. igure 1 of 1 Value Units 4 ft Submit Request Answer 40° < Return to Assignment m Provide Feedback
The spring is uncompressed when the uniform slender bar is in the vertical position shown. Determine the initial angular acceleration a of the bar when it is released from rest in a position where the bar has been rotated clockwise 33° from the position shown. Neglect any sag of the spring, whose mass is negligible. The angular acceleration is positive if counterclockwise and negative if clockwise. The mass m of the bar is 18 kg, the length / is 305...
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...
11.6) A slender bar, 3, with a uniformly distributed mass m is attached at each end to light rollers which move in a smooth fixed guide, 1, shaped as shown in the figure. Assuming gravity acts vertically downward and the bar is released from rest in the configuration shown, what is the angular acceleration of the bar and the force at each roller at the instant the bar is released? For numerical values, use m = 18 kg and r...
The 0.2-16 bar is released from rest in the position shown. Find the angular velocity of the bar when it reaches a position 30° below horizontal. The spring has a stiffness of 4.5 lb/ft and an undeformed length of 2 in. (50) -5.00 in -3.00 in OWARD B C