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If theta=30 degrees, determine the magnitude of force F so that the resultant couple moment is 100 N m clockwise.

Two couples act on the cantilever beam. If F=6 kN, determine the resultant couple moment.

If F(1)=100 lb and F(2)=200 lb, determine the magnitude and coordinate direction angles of the resultant couple moment.

Replace the two forces by an equivalent resultant force and couple moment at point O. Set F=20 lb.

Replace the force system by a resultant force and couple moment at point O.

Replace the force and couple system acting on the frame by an equivalent resultant force and specify where the resultant's line of action intersects member AB, measured from A

Replace the force system acting on the frame by an equivalent resultant force and specify where the resultant's line of action intersects member BC, measured from point B.

The building slab is subjected to four parallel column loadings. Determine the equivalent resultant force and specify its location (x,y) on the slab. Take F(1)=20kN, F(2)=50kN.

Two couples act on the cantilever beam. If F=6 kN, determine the resultant couple moment.

If F(1)=100 lb and F(2)=200 lb, determine the magnitude and coordinate direction angles of the resultant couple moment.

Replace the two forces by an equivalent resultant force and couple moment at point O. Set F=20 lb.

Replace the force system by a resultant force and couple moment at point O.

Replace the force and couple system acting on the frame by an equivalent resultant force and specify where the resultant's line of action intersects member AB, measured from A

Replace the force system acting on the frame by an equivalent resultant force and specify where the resultant's line of action intersects member BC, measured from point B.

The building slab is subjected to four parallel column loadings. Determine the equivalent resultant force and specify its location (x,y) on the slab. Take F(1)=20kN, F(2)=50kN.

Replace the distributed loading with an equivalent resultant force, and specify its location on the beam measured from point A. w(x)=(1/2)(4-x)^2

Replace the distributed loading with an equivalent resultant force, and specify its location on the beam measured from point A.

The distribution of soil loading on the bottom of a building slab is shown. Replace this loading by an equivalent resultant force and specify its location, measured from point O.

The articulated crane boom has a weight of 125 lb and center of gravity at G. If it supports a load of 600 lb, determine the force acting at the pin A and the force in the hydraulic cylinder BC when the boom is in the position shown.

The jib crane is supported by a pin at C and rod AB. If the load has a mass of 2 Mg with its center of mass located at G, determine the horizontal and vertical components of the reaction at the pin C and the force developed in rod AB on the crane when x=5 m.

Spring CD remains in the horizontal position at all times due to the roller at D. If the spring is unstretched when theta=0 degrees and the bracket achieves the equilibrium position when theta = 30 degrees, determine the stiffness k of the spring and the horizontal and vertical components of the reaction at pin A

The air stroke actuator at D is used to apply a force of F=200 N on the member at B. Determine the horizontal and vertical components of the reaction at the pin A and the force of the smooth shaft at C on the member.

Determine the horizontal and vertical components of reaction at the pin A and the normal force at the smooth peg B on the member.

Replace the distributed loading with an equivalent resultant force, and specify its location on the beam measured from point A.

The distribution of soil loading on the bottom of a building slab is shown. Replace this loading by an equivalent resultant force and specify its location, measured from point O.

The articulated crane boom has a weight of 125 lb and center of gravity at G. If it supports a load of 600 lb, determine the force acting at the pin A and the force in the hydraulic cylinder BC when the boom is in the position shown.

The jib crane is supported by a pin at C and rod AB. If the load has a mass of 2 Mg with its center of mass located at G, determine the horizontal and vertical components of the reaction at the pin C and the force developed in rod AB on the crane when x=5 m.

Spring CD remains in the horizontal position at all times due to the roller at D. If the spring is unstretched when theta=0 degrees and the bracket achieves the equilibrium position when theta = 30 degrees, determine the stiffness k of the spring and the horizontal and vertical components of the reaction at pin A

The air stroke actuator at D is used to apply a force of F=200 N on the member at B. Determine the horizontal and vertical components of the reaction at the pin A and the force of the smooth shaft at C on the member.

Determine the horizontal and vertical components of reaction at the pin A and the normal force at the smooth peg B on the member.

Spring CD remains in the horizontal position at all times due to the roller at D. If the spring is unstretched when theta = 0 degrees and the stiffness is k=1.5 kN/m, determine the smallest angle theta for equilibrium and the horizontal and vertical components of reaction at pin A.

The cart supports the uniform crate having mass of 85 kg. Determine the vertical reactions on the three casters at A, B, and C. The caster at B is not shown. Neglect the mass of the cart.

If the cable can be subjected to a maximum tension of 300 lb, determine the maximum force F which may be applied to the plate. Compute the x,y,z components of the reaction at the hinge A for this loading.

Member AB is supported at B by a cable and at A by a smooth fixed square rod which fits loosely through the square hole of the collar. Determine the tension in cable BC if the force F={-45 k} lb.

Use the method of joints to determine the forces in each member of the truss. Determine which members are in tension and which are in compression. Identify any zero force members. Draw the FBD s for each joint.

Use the method of sections to determine the forces in members EF, EC, and BC. Determine which of these members are in tension and which are in compression.

Determine the tensions developed in wires CD, CB, ab BA and the angle required for equilibrium of the 30 lb cylinder E and the 60 lb cylinder F. If cylinder E weighs 30 lb and theta = 15 degrees, determine the weight of cylinder F.

The picture has a weight of 10 lb and is to be hung over the smooth pin B. If a string is attached to the frame at points A and C, and the maximum force the string can support is 15 lb, determine the shortest string that can be safely used.

The towing pendant AB is subjected to the force of 50 kN exerted by a tugboat. Determine the force in each of the bridles, BC and BD, if the ship is moving forward with constant velocity.

The cart supports the uniform crate having mass of 85 kg. Determine the vertical reactions on the three casters at A, B, and C. The caster at B is not shown. Neglect the mass of the cart.

If the cable can be subjected to a maximum tension of 300 lb, determine the maximum force F which may be applied to the plate. Compute the x,y,z components of the reaction at the hinge A for this loading.

Member AB is supported at B by a cable and at A by a smooth fixed square rod which fits loosely through the square hole of the collar. Determine the tension in cable BC if the force F={-45 k} lb.

Use the method of joints to determine the forces in each member of the truss. Determine which members are in tension and which are in compression. Identify any zero force members. Draw the FBD s for each joint.

Use the method of sections to determine the forces in members EF, EC, and BC. Determine which of these members are in tension and which are in compression.

Determine the tensions developed in wires CD, CB, ab BA and the angle required for equilibrium of the 30 lb cylinder E and the 60 lb cylinder F. If cylinder E weighs 30 lb and theta = 15 degrees, determine the weight of cylinder F.

The picture has a weight of 10 lb and is to be hung over the smooth pin B. If a string is attached to the frame at points A and C, and the maximum force the string can support is 15 lb, determine the shortest string that can be safely used.

The towing pendant AB is subjected to the force of 50 kN exerted by a tugboat. Determine the force in each of the bridles, BC and BD, if the ship is moving forward with constant velocity.

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