Determine the lengths of cords ACB and CO. The knot at C is located midway between A and B.
A blog where I post solutions to the mechanics and statics problems that I encounter. Also many mastering engineering problems will be seen, so users of that program may find this blog interesting. The course uses the Hibbeler Statics textbook and some of the subjects covered include: Cartesian vectors, force resultants, force equilibrium, particle equilibrium, Hooke's Law, vector decomposition, etc. More to be added as those problems and topics are encountered.
Showing posts with label sum. Show all posts
Showing posts with label sum. Show all posts
Tuesday, October 6, 2015
2_1_f
Determine the resultant force and its direction measured from the positive x-axis.
Labels:
2,
Components,
Force,
Force System Resultants,
Resultant,
Statics,
sum,
Vector,
Vector Decomposition
Wednesday, September 23, 2015
3_3_c
The pole supports a 22-lb traffic light. Using Cartesian vectors, determine the moment of the weight of the traffic light about the base of the pole at A.
3_3_b
The curved rod lies in the x-y plane and has a radius of 3 m. If a force of F = 80 N acts at its end as shown, determine the moment of this force about point B.
Labels:
3D Moment,
3D Moment Analysis,
4,
Cartesian Vector,
Force,
Force Vectors,
Moment,
Moment of Force,
Particles,
Position Vector,
Statics,
sum,
Vector
3_2_f
The tool at A is used to hold a power lawnmower blade stationary while the nut is being loosened with the wrench. If a force of 50 N is applied to the wrench at B in the direction shown, determine the moment it creates about the nut at C. What is the magnitude of force F at A so that is creates the opposite moment about C?
Labels:
2D Moment Analysis,
4,
Components,
Force,
Force Equilibrium,
Moment,
Moment about an Axis,
Moment of Force,
Particles,
Statics,
sum,
Vector
Wednesday, September 16, 2015
3_1_k
If the bucket and its contents have a total weight of 20 lb, determine the force in the supporting cables DA, DB, and DC
3_1_j
The three cables are used to support the 800-N lamp. Determine the force developed in each cable for equilibrium.
Labels:
3D Equilibrium,
Components,
Equilibrium of a Particle,
Force,
Force Vectors,
Particles,
Resultant,
Statics,
sum,
Tension,
Vector
3_1_i
the 200-lb uniform tank is suspended by means of the 6-ft-long cable, which is attached to the sides of the tank and passes over the small pulley located at O. If the cable can be attached at either points A and B, or C and D, determine which attachment produces the least amount of tension in the cable. What is this tension?
3_1_h
Determine the mass of each of the two cylinders if they cause a sag of s = 0.5 m when suspended from the rings at A and B. Note that s = 0 when the cylinders are removed.
3_1_g
A continuous cable of total length 4 m is wrapped around the small pulleys at A, B, C, and D. If each spring is stretched 300 mm, determine the mass m of each block. Neglect the weight of the pulleys and cords. The springs are unstretched when d = 2 m.
3_1_f
Determine the force in each cable and the force F needed to hold the 4-kg lamp in the position shown. Hint: First analyze the equilibrium at B; then, using the result for the force in BC, analyze the equilibrium at C
3_1_e
The unstretched length of spring AB is 2 m. If the block is held in the equilibrium position shown, determine the mass of the block at D.
Labels:
2D Equilibrium,
Components,
Force,
Force Equilibrium,
Force Vectors,
Hooke's Law,
Particles,
Spring,
Springs,
Statics,
Stretch,
sum,
Vector
3_1_d
a 200-kg engine is suspended from a vertical chain at A. A second chain is wrapped around the engine and held in position by the spreader bar BC. Determine the compressive force acting along the axis of the bar and the tension forces in segments BA and CA of the chain. Hint: Analyze equilibrium first at A, then at B.
3_1_c
The gusset plate is subjected to the forces of four members. Determine the force in member B and its proper orientation
for equilibrium. The forces are concurrent at point O. Take F = 12 kN.
3_1_b
Determine the magnitude and angle
of F so that the particle is in equilibrium
3_1_a
Determine the magnitudes of F1 and F2 so that the particle is in equilibrium
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