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Home Work 1In Class – and at home

StaticsHenry Ford College

Due: September 15, 2016

Problem 1: Determine the magnitude of the resultant force and its direction measured counterclockwise from the positive x axis. Use Law of Sin and/or Cos only.

Problem 2: Determine the magnitude and direction of the resultant = + + . Use the component method

Problem 3: Determine the magnitude of the resultant force acting on the corbel and its direction measured counterclockwise from the x axis.

Problem 3: Determine the magnitude and the direction of the resultant force acting on the pipe assembly.

Problem 4: Determine the magnitude and coordinate direction angles of the resultant force acting on the eyebolt.

Problem 5: Represent FA and FB in Cartesian vector form. Neglect the diameter of the pole.

Problem 6: The window is held open by chain AB . Determine the length of the chain, and express the 50-lb force acting at A along the chain as a Cartesian vector and determine its coordinate direction angles.

Home Work 2

Statics Henry Ford College

Due: September 21, 2016

Problem 1: Find the magnitude of the projected component of the force along the pipe AO.

Problem 2: Determine the magnitudes of the components of F = 600 N acting along and perpendicular to segment DE of the pipe assembly.

Problem 3: Determine the angle ɵ between the two cables attached to the post.

Problem 4: The unstretched length of spring AB is 3 m. If the block is held in the equilibrium position shown, determine the mass of the block at D.

Problem 4: Determine the tension in cables AB, BC, and CD, necessary to support the 10-kg and 15-kg traffic lights at B and C, respectively. Also, find the angle ɵ.

Problem 5:

Problem 6: A “scale” is constructed with a 4-ft-long cord and the 10-lb block D . The cord is fixed to a pin at A and passes over two small pulleys. Determine the weight of the suspended block B if the system is in equilibrium when s = 1.5 ft.

Problem 6: Determine the maximum mass of the lamp that the cord system can support so that no single cord develops a tension exceeding 400 N.

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Home Work 3

Statics Henry Ford College

Due: October 3, 2016

Problem 1: The pail and its contents have a mass of 60 kg. If the cable BAC is 15 m long. determine the distance y of the pully at A for equilibrium. Neglect the size of the pulley.

Problem 2: The bucket has a weight of 20lb determine the tension developed in each cord for equilibrium.

Problem 3:

Home Work 4

Statics Henry Ford College

Due: October 5, 2016

Problem 1: Determine the moment about point A of each of the three forces acting on the beam.

Problem 2: The connected bar BC is used to increase the lever arm of the crescent wrench as shown. If a clockwise moment of MA = 120 N.m is needed to tighten the nut at A and the extension d = 300 mm, determine the required force F in order to develop this moment (Hint: You may assume the wrench is in horizontal position).

Problem 3: Determine the resultant moment produced by force FC about point O. Express the result as a Cartesian vector.

Problem 4: Determine the magnitude of the moments of the force F about the x, y, and z axes. Solve the problem (a) using a Cartesian vector approach and (b) using a scalar approach.

Problem 5: Determine the moment of the force F about the x, y, and z axes The force has coordinate direction angles of = 60°, β = 120°, and γ = 45°. Solve the problem (a) using a Cartesian vector approach and (b) using a scalar approach.

Problem 6: If the tension in the cable is F = 140 lb , determine the magnitude of the moment produced by this force about the hinged axis, CD , of the panel.

Home Work 5

Statics Henry Ford College

Due: October 17, 2016 Problem 1: If F = {100k} N, determine the couple moment that acts on the assembly using a) Cartesian Vector Method, b) Scalar Method. Member BA lies in the x–y plane. .

Problem 2: Determine the resultant couple moment of the two couples that act on the pipe assembly using a) Cartesian Vector Method, b) Scalar Method. The distance from A to B is d = 400 mm.

Problem 3: Replace the force system acting on the beam by an equivalent force and couple moment at point B .

Problem 4: Replace the force system by an equivalent force and couple moment at point A .

Problem 5: Replace the loading acting on the beam by a single resultant force. Specify where the force acts, measured from end A.

Problem 6: Replace the distributed loading by an equivalent resultant force and specify where its line of action intersects member AB, measured from A .

Home Work 6

Statics Henry Ford College Due: Oct 31, 2016

Problem 1: The woman exercises on the rowing machine. If she exerts a holding force of F = 200 N on handle ABC, determine the horizontal and vertical components of reaction at pin C and the force developed along the hydraulic cylinder BD on the handle.

Problem 2: Determine the components of reaction at the fixed support A. Neglect the thickness of the beam.

Problem 3: The boom AC is supported at A by a ball-and-socket joint and by two cables BDC and CE. Cable BDC is continuous and passes over a pulley at D. Calculate the tension in the cables and the x, y, z components of reaction at A if a crate has a weight of 80 lb.

Problem 4: A vertical force of 80 lb acts on the crankshaft. Determine the horizontal equilibrium force P that must be applied to the handle and the x, y, z components of reaction at the journal bearing A and thrust bearing B. The bearings are properly aligned and exert only force reactions on the shaft.

Home Work 7

Statics Henry Ford College

Due: November 14, 2016 Problem 1: Determine the force in each member of the truss, and state if the members are in tension or compression.

Problem 2: Determine the force in each member of the truss and state if the members are in tension or compression. Hint: The resultant force at the pin E acts along member ED . Why?

Problem 3: Determine the force in members CD, CJ, KJ, and DJ of the truss which serves to support the deck of a bridge. State if these members are in tension or compression.

Problem 4: Determine the force in members GJ and GC of the truss and state if this member is in tension or compression. .

Home Work 8

Statics Henry Ford College Due: Nov 21, 2016

Problem 1: Determine the horizontal and vertical components of force at pins D and E, and the force on the short link at A. The suspended cylinder has a weight of 80 lb.

Problem 2: The tractor boom supports the uniform mass of 500 kg in the bucket which has a center of mass at G . Determine the force in each hydraulic cylinder AB and CD and the resultant force at pins E and F . The load is supported equally on each side of the tractor by a similar mechanism.

Problem 3: Determine the normal force, shear force, and moment at a section passing through point C . Take P = 8 kN.

Problem 4: Rod AB is fixed to a smooth collar D, which slides freely along the vertical guide. Determine the internal normal force, shear force, and moment at point C which is located just to the left of the 60-lb concentrated load.

Home Work 9

Statics Henry Ford College

Due: November 30, 2016 Problem 1: Two blocks A and B have a weight of 10 lb and 6 lb, respectively. They are resting on the incline for which the coefficients of static friction are μA = 0.15 and μB = 0.25. Determine the incline angle Ө for which both blocks begin to slide. Also find the required stretch or compression in the connecting spring for this to occur. The spring has a stiffness of k = 2 lb/ft.

Problem 2: Blocks A and B have a mass of 7 kg and 10 kg, respectively. Using the coefficients of static friction indicated, determine the largest force P which can be applied to the cord without causing motion. There are pulleys at C and D.

Problem 3: The 80-lb boy stands on the beam and pulls on the cord with a force large enough to just cause him to slip. If (μs)D = 0.4 between his shoes and the beam, determine the reactions at A and B . The beam is uniform and has a weight of 100 lb. Neglect the size of the pulleys and the thickness of the beam.

Problem 4: The three bars have a weight of WA = 20 lb, WB = 40 lb, and WC = 60 lb, respectively. If the coefficients of static friction at the surfaces of contact are as shown, determine the smallest horizontal force P needed to move block A.

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Home Work 10

StaticsHenry Ford College

Due: Dec 7, 2016

Problem 1: If the beam AD is loaded as shown, determine the horizontal force P which must be applied to the wedge in order to remove it from under the beam. The coefficients of static friction at the wedge’s top and bottom surfaces are CA = 0.25 and CB = 0.35, respectively. If P = 0, is the wedge self-locking? Neglect the weight and size of the wedge and the thickness of the beam.

Problem 2: The coefficient of static friction between the wedges B and C is s = 0.6 and between the surfaces of contact B and A and C and D , ’s = 0.4. If P = 50 N, determine thesmallest allowable compression of the spring without causing wedge C to move to the left. Neglect the weight of the wedges.

Problem 3: Blocks A and B have a mass of 100 kg and 150 kg, respectively. If the coefficient of static friction between A and B and between B and C is s = 0.25 and between the ropes and the pegs D and E ’s = 0.5 determine the smallest force F needed to cause motion of block B if P = 30 N.