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A slender bar of mass m and length L is released from rest in a horizontal...
1. A slender rod of mass 0.5 kg and length 0.8 m is released from rest...
1. A slender rod of mass 0.5 kg and length 0.8 m is released from rest in the position shown. The coefficients of kinetic and static friction between the surface and the rod are Ilk = 0.11, and is = 0.2. Determine whether the rod will slip on the horizontal surface. 300
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...
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 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...
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...
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?
ke Slender bar of mass m As shown in Figure 1, a uniform slender bar with...
ke Slender bar of mass m As shown in Figure 1, a uniform slender bar with mass m and length L is supported by a vertical spring at its right end while a mass block 2m suspended from its left end through a spring is supported by another spring. All these three vertical springs have the same stiffness k. If the downward vertical displacement x of the mass block and the clockwise rotation angle 8 of the bar are assumed...
A uniform rod of mass M and length L is released from its horizontal position. The...
A uniform rod of mass M and length L is released from its horizontal position. The rod pivots about a fixed frictionless axis at' onc end and rotates countcrclockwise duc to gravity. It collides and sticks to another rod with same length and mass which is ver- tically at rest. (For a rod with mass M and length L, the moment of inertia about an axis through its one end is given by1-ML) L,M L, M Initial Final (a)(5 pts.)...
L=1.50 m M= 2,33 kg 2. A bar of mass M, and of length L is...
L=1.50 m
M= 2,33 kg
2. A bar of mass M, and of length L is initially at rest in the vertical position shown. It starts to rotate about the hinged support at A from its vertical position. Determine the s the tupport reactions in normal and tangential directions at A when the bar is in horizontal position. Each student should find the corresponding numerical values of length in (m) and mass in (kg) on the next Page. (30 Points)...
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...
1. A slender rod of mass 0.5 kg and length 0.8 m is released from rest in the position shown. The coefficients of kinetic and static friction between the surface and the rod are Ilk = 0.11, and is = 0.2. Determine whether the rod will slip on the horizontal surface. 300
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...
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 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...
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...
ke Slender bar of mass m As shown in Figure 1, a uniform slender bar with mass m and length L is supported by a vertical spring at its right end while a mass block 2m suspended from its left end through a spring is supported by another spring. All these three vertical springs have the same stiffness k. If the downward vertical displacement x of the mass block and the clockwise rotation angle 8 of the bar are assumed...
A uniform rod of mass M and length L is released from its horizontal position. The rod pivots about a fixed frictionless axis at' onc end and rotates countcrclockwise duc to gravity. It collides and sticks to another rod with same length and mass which is ver- tically at rest. (For a rod with mass M and length L, the moment of inertia about an axis through its one end is given by1-ML) L,M L, M Initial Final (a)(5 pts.)...
L=1.50 m
M= 2,33 kg
2. A bar of mass M, and of length L is initially at rest in the vertical position shown. It starts to rotate about the hinged support at A from its vertical position. Determine the s the tupport reactions in normal and tangential directions at A when the bar is in horizontal position. Each student should find the corresponding numerical values of length in (m) and mass in (kg) on the next Page. (30 Points)...
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...
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