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Prob. 4 Consider a slender uniform homogeneous bar of total length 1.5 m and mass 4.5 kg that is bent and welded to form the equilateral triangular object supported at a hinge in a vertical plane...
Prob. 3 A slender uniform homogeneous bar of total mass 2 kg is used to stiffen...
Prob. 3 A slender uniform homogeneous bar of total mass 2 kg is used to stiffen the 4 kg rectangular plate, as shown, along all its four sides. Determine a) The total length of the bar b) The total mass of the assembly c) Its center of mass location, G. d) determine the moment of inertia e) and radius of gyration about G. 300mm A 300mm + 400mm Prob. 4 The stiffened plate described in Prob 3 above, and supported...
The 600 mm long homogeneous slender bar OA has a mass of 8 kg and is supported in the horizontal position by the cable at A and the corner hinge at O
The 600 mm long homogeneous slender bar OA has a mass of 8 kg and is supported in the horizontal position by the cable at A and the corner hinge at O. The cable at A is suddenly released. Just before hitting the incline, the bar has an angular velocity of ω= 5 rad / sec. Calculate the angle θ. Neglect the curvature of the path of the bar mass center when the bar is falling and assume that the...
Sketch a 2 kg slender uniform homogeneous bar AB that is leaning against a vertical wall....
Sketch a 2 kg slender uniform homogeneous bar AB that is leaning against a vertical wall. The end A is a point on the floor 5 ft away from the wall on the left or right (your choice), and end B is 12 ft above the floor (the datum). At the instant, the bar has an angular velocity of 3 rad/s CW. Determine the magnitudes and directions of the velocities of the ends A and B. What are the kinetic...
A uniform slender bar of mass M = 3.2 kg and length L = 1.78 m...
A uniform slender bar of mass M = 3.2 kg and length L = 1.78 m is translating on the smooth horizontal x-y plane with a velocity vm= 1.80 m/s when a particle of mass m = 0.36 kg traveling with a velocity Vm=5.52 m/s as shown strikes and becomes embedded in the bar. Determine the final linear velocity of the center of mass of the system and the angular velocity of the bar with its embedded particle. 3L 4...
The crank OA rotates in the vertical plane with a constant clockwise angular velocity
The crank OA rotates in the vertical plane with a constant clockwise angular velocity ωo=4.5 rad/s. For the position when OA is horizontal, (a) determine the angular acceleration of the uniform 10 kg slender bar AB and the horizontal and vertical components of the acceleration of its center of mass. Use the methods of kinematics (Ch 16) to establish both the magnitude and direction → or ← for aG and; CW or CCW for αAB) of each variable. (b) Draw complete free body...
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...
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...
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:...
The 10 kg uniform slender bar is pinned at A to the collar, which has an upward acceleration a = 4 m/s along the vertical shaft.
The 10 kg uniform slender bar is pinned at A to the collar, which has an upward acceleration a = 4 m/s along the vertical shaft. If the bar has an angular velocity ω = 3 rad/s as it swings past the horizontal position, determine the magnitude of the reaction at A for this instant.Ans: 43.8 N
The uniform slender rod contains a 4-kg uniform rod with the center of mass at point...
The uniform slender rod contains a 4-kg uniform rod with the center of mass at point G is suspended from a hinge at C. The rod is at rest in a vertical position when point B is subjected to a force of P = 75 N, and a moment M = 50 Nm, the length of the rod is 1 m and r = 0.225m. Determine the reactions at the pin C and the initial angular acceleration of the rod....
Prob. 3 A slender uniform homogeneous bar of total mass 2 kg is used to stiffen the 4 kg rectangular plate, as shown, along all its four sides. Determine a) The total length of the bar b) The total mass of the assembly c) Its center of mass location, G. d) determine the moment of inertia e) and radius of gyration about G. 300mm A 300mm + 400mm Prob. 4 The stiffened plate described in Prob 3 above, and supported...
Sketch a 2 kg slender uniform homogeneous bar AB that is leaning against a vertical wall. The end A is a point on the floor 5 ft away from the wall on the left or right (your choice), and end B is 12 ft above the floor (the datum). At the instant, the bar has an angular velocity of 3 rad/s CW. Determine the magnitudes and directions of the velocities of the ends A and B. What are the kinetic...
A uniform slender bar of mass M = 3.2 kg and length L = 1.78 m is translating on the smooth horizontal x-y plane with a velocity vm= 1.80 m/s when a particle of mass m = 0.36 kg traveling with a velocity Vm=5.52 m/s as shown strikes and becomes embedded in the bar. Determine the final linear velocity of the center of mass of the system and the angular velocity of the bar with its embedded particle. 3L 4...
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...
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...
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:...
The uniform slender rod contains a 4-kg uniform rod with the center of mass at point G is suspended from a hinge at C. The rod is at rest in a vertical position when point B is subjected to a force of P = 75 N, and a moment M = 50 Nm, the length of the rod is 1 m and r = 0.225m. Determine the reactions at the pin C and the initial angular acceleration of the rod....
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