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The uniform bar of mass m and length L is balanced in the vertical position when...
M,R a = 0 14. A body consisted of an uniform rod of mass m and length L, and a disk of mass M and radius R can rotate a...
M,R a = 0 14. A body consisted of an uniform rod of mass m and length L, and a disk of mass M and radius R can rotate about the axis z. At the beginning the body is in the horizontal position and rests. On the body acts only the gravity force. Determine the linear momentum P, and the angular momentum K relatively to point O when the body is in the vertical position, as shown. m. X P2=?...
The spring is uncompressed when the uniform slender bar is in the vertical position shown. Determine...
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...
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...
11. A uniform thin rod of length L and mass M, pivoted at one end as...
11. A uniform thin rod of length L and mass M, pivoted at one end as shown above, is held horizontal and then released from rest. Ignore all effects due to friction. (a) Find the angular speed of the rod as it sweeps through the vertical position. solution: 、13g / L (b) Find the force exerted on the rod by the pivot at this instant. solution Mg (c) Starting from the horizontal position, what initial angular speed would be needed...
1. The ends of a uniform bar AB with length l= 36.0 in and weight W...
1. The ends of a uniform bar AB with length l= 36.0 in and weight W = 30.0 lb are attached to collars of negligible weight that slide without friction along fixed bars. A vertical force P is applied to collar B. The bar is initially at rest in the position shown and the initial angular acceleration of A is 40.0 ft/s to the left, aA = – 40 ft/s i. o= 30° {= 36 in O Draw a free...
Q-4 (25 pts A uniform bar of length (L), cross sectional area (A) and mass (m) is free to rotate about a frictionle...
Q-4 (25 pts A uniform bar of length (L), cross sectional area (A) and mass (m) is free to rotate about a frictionless hinge at "O" in a horizontal plane. At the instant shown its angular velocity is (w) rad/sec clockwise and the applied torque (T) is clockwise. For the instant determine: a) The reactions at the hinge "O b) The internal forces (Shear force V, axial force F) in the middle of the bar (xeL/2 from hinge "O") Hint:...
A uniform rod of length L (2.00 m) and mass M (5.00 Kg) is free to...
A uniform rod of length L (2.00 m) and mass M (5.00 Kg) is free to rotate on a frictionless pin passing through one end. The rod is released from rest in the horizontal position, (a) What is its angular speed when the rod reaches its lowest position? (b) What arc the linear speed of the center of mass and that of the lowest point on the rod when it is in the vertical position?
include free body diagram . [18 pts] A uniform long slender bar of mass m 6.8...
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...
D L/2 G L/2 B MO A uniform slender rod of mass M=10 kg and length...
D L/2 G L/2 B MO A uniform slender rod of mass M=10 kg and length L=3m, is hinged at A. The rod is held in a horizontal position against А the spring (k= 200kN/m) at G, the spring being in compression. When the rod is released from this horizontal position k Rigid (the spring is not connected to the rod), support it will rotate about the frictionless hinge Spring A in a vertical plane. Determine: support a. The minimum...
4(12 points) A uniform rod of length L and mass M is attached at one end...
4(12 points) A uniform rod of length L and mass M is attached at one end to a frictionless pivot and is free to rotate about the pivot in the vertical plane as in Figure. The rod is released from rest in the horizontal position. (a)What are the initial angular acceleration of the rod and the initial translational acceleration of its right end (as shown in Fig.a)? (b)What is its angular speed when the rod reaches its lowest position (as...
M,R a = 0 14. A body consisted of an uniform rod of mass m and length L, and a disk of mass M and radius R can rotate about the axis z. At the beginning the body is in the horizontal position and rests. On the body acts only the gravity force. Determine the linear momentum P, and the angular momentum K relatively to point O when the body is in the vertical position, as shown. m. X P2=?...
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...
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...
11. A uniform thin rod of length L and mass M, pivoted at one end as shown above, is held horizontal and then released from rest. Ignore all effects due to friction. (a) Find the angular speed of the rod as it sweeps through the vertical position. solution: 、13g / L (b) Find the force exerted on the rod by the pivot at this instant. solution Mg (c) Starting from the horizontal position, what initial angular speed would be needed...
1. The ends of a uniform bar AB with length l= 36.0 in and weight W = 30.0 lb are attached to collars of negligible weight that slide without friction along fixed bars. A vertical force P is applied to collar B. The bar is initially at rest in the position shown and the initial angular acceleration of A is 40.0 ft/s to the left, aA = – 40 ft/s i. o= 30° {= 36 in O Draw a free...
Q-4 (25 pts A uniform bar of length (L), cross sectional area (A) and mass (m) is free to rotate about a frictionless hinge at "O" in a horizontal plane. At the instant shown its angular velocity is (w) rad/sec clockwise and the applied torque (T) is clockwise. For the instant determine: a) The reactions at the hinge "O b) The internal forces (Shear force V, axial force F) in the middle of the bar (xeL/2 from hinge "O") Hint:...
A uniform rod of length L (2.00 m) and mass M (5.00 Kg) is free to rotate on a frictionless pin passing through one end. The rod is released from rest in the horizontal position, (a) What is its angular speed when the rod reaches its lowest position? (b) What arc the linear speed of the center of mass and that of the lowest point on the rod when it is in the vertical position?
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...
D L/2 G L/2 B MO A uniform slender rod of mass M=10 kg and length L=3m, is hinged at A. The rod is held in a horizontal position against А the spring (k= 200kN/m) at G, the spring being in compression. When the rod is released from this horizontal position k Rigid (the spring is not connected to the rod), support it will rotate about the frictionless hinge Spring A in a vertical plane. Determine: support a. The minimum...
4(12 points) A uniform rod of length L and mass M is attached at one end to a frictionless pivot and is free to rotate about the pivot in the vertical plane as in Figure. The rod is released from rest in the horizontal position. (a)What are the initial angular acceleration of the rod and the initial translational acceleration of its right end (as shown in Fig.a)? (b)What is its angular speed when the rod reaches its lowest position (as...
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