The 6.0-lb bar is pinned at its center O and connected to a torsional spring. The...
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?.
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The 6.0-lb bar is pinned at its center O and connected to a
torsional spring. The...
The slender uniform bar with a weight of 9 lb can rotate in a vertical plane...
The slender uniform bar with a weight of 9 lb can rotate in a
vertical plane with respect to a bolt B. A spring of constant k =
40 lb / ft and an undeformed length of 5 in is connected to the bar
as shown . If the bar is released from rest in the position shown,
determine after rotating 90 °:
A) The initial energy of the spring:
B) Final spring energy:
C) The velocity of the G...
2. The weight of the disk is 30 lb and its radius of gyration equals 0.6...
2. The weight of the disk is 30 lb and its radius of gyration equals 0.6 ft. The spring has a stiffness of 2 lb/ft and an unstretched length of 1 ft. Find the velocity of the center G at the instant G moves 3 ft to the left. Assume that the disk is released from rest in the position shown and rolls without slipping. k=2 lb/ft
1. A sphere with weight W is connected to a weightless spring and swung like a...
1. A sphere with weight W is connected to a weightless spring and swung like a pendulum at a constant angular velocity of 4 rad/s. If the stiffness of the spring is 50 lb/ft, and its unstretched length is 8 inches, what is the length, R, of the spring at the instant when the axis of the spring is oriented 60° from the horizontal as shown? R 9 s = 4 Rad/s
The 0.2-lb bar is released from rest in the position shown. Find the angular velocity of...
The 0.2-lb 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 Owo A B с ud
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...
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...
The torsional spring at A has a stiffness = 25 N.m/rad and is undeformed when the...
The torsional spring at A has a stiffness = 25 N.m/rad and is undeformed when the uniform 20-kg bars OA and AB are in the vertical position and overlap. If the system is released from rest with 0 = 67°, determine the magnitude of the angular velocity of wheel B when 0 = 25º. The 13-kg wheel at B has a centroidal radius of gyration of 50 mm and is observed to roll without slipping on the horizontal surface. kr...
A 0.5m long, thin uniform bar is pinned at its center. It is spinning on a...
A 0.5m long, thin uniform bar is pinned at its center. It is spinning on a smooth horizontal surface with an initial velocity of 10 rad/s. It has a mass of 2kg. A small 0.25kg object is dropped on it and sticks at a distance of 0.25m from its center. Find: a) the final angular velocity of the system b) the force required to hold the object in place after it reaches its final velocity c) the energy lost during...
EXAMPLE 4.29 The slender bar, pinned smoothly at O, is released from rest in the position...
EXAMPLE 4.29 The slender bar, pinned smoothly at O, is released from rest in the position showr in Figure E4.29a. After a rotation of 45°, its angular speed is (3g)/(2/). Find at that instant the axial force, shear force, and bending moment in the bar at point A, which is one-fourth the length of the bar from its free end. m, t Figure E429a
The bar, WA=100[lb] and L=3[ft], shown in figure is initially in the vertical position
The bar, WA=100[lb] and L=3[ft], shown in figure is initially in the vertical position. The bar is subjected to a couple moment of M=20 [lb-ft] and a force F=50[l b], which is always perpendicular to the end of bar. Also, the spring is attached to bar at distance L / 2 from point A, and has unstretched length of l0=1.2[ft]. The spring remains in horizontal position throughout the motion due to the roller guide at B. Determine angular velocity of...
The 15-kg slender bar OA is released from rest in the vertical position and compresses the...
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?
The slender uniform bar with a weight of 9 lb can rotate in a
vertical plane with respect to a bolt B. A spring of constant k =
40 lb / ft and an undeformed length of 5 in is connected to the bar
as shown . If the bar is released from rest in the position shown,
determine after rotating 90 °:
A) The initial energy of the spring:
B) Final spring energy:
C) The velocity of the G...
2. The weight of the disk is 30 lb and its radius of gyration equals 0.6 ft. The spring has a stiffness of 2 lb/ft and an unstretched length of 1 ft. Find the velocity of the center G at the instant G moves 3 ft to the left. Assume that the disk is released from rest in the position shown and rolls without slipping. k=2 lb/ft
1. A sphere with weight W is connected to a weightless spring and swung like a pendulum at a constant angular velocity of 4 rad/s. If the stiffness of the spring is 50 lb/ft, and its unstretched length is 8 inches, what is the length, R, of the spring at the instant when the axis of the spring is oriented 60° from the horizontal as shown? R 9 s = 4 Rad/s
The 0.2-lb 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 Owo A B с ud
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...
The torsional spring at A has a stiffness = 25 N.m/rad and is undeformed when the uniform 20-kg bars OA and AB are in the vertical position and overlap. If the system is released from rest with 0 = 67°, determine the magnitude of the angular velocity of wheel B when 0 = 25º. The 13-kg wheel at B has a centroidal radius of gyration of 50 mm and is observed to roll without slipping on the horizontal surface. kr...
EXAMPLE 4.29 The slender bar, pinned smoothly at O, is released from rest in the position showr in Figure E4.29a. After a rotation of 45°, its angular speed is (3g)/(2/). Find at that instant the axial force, shear force, and bending moment in the bar at point A, which is one-fourth the length of the bar from its free end. m, t Figure E429a
The bar, WA=100[lb] and L=3[ft], shown in figure is initially in the vertical position. The bar is subjected to a couple moment of M=20 [lb-ft] and a force F=50[l b], which is always perpendicular to the end of bar. Also, the spring is attached to bar at distance L / 2 from point A, and has unstretched length of l0=1.2[ft]. The spring remains in horizontal position throughout the motion due to the roller guide at B. Determine angular velocity of...
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