# ES 61 Problem Set

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Engineering Science

### Text of ES 61 Problem Set

• Mindanao State University-Iligan Institute of Technology College of Engineering

Department of Chemical Engineering and Technology Andres Bonifacio Avenue, Tibanga, 9200 Iligan City, Philippines

Telephone: +63.63.221.4056 +63.63.492.1173 Facsimile: +63.63.351.6173

F

ES 61 STATICS OF RIGID BODIES

NAME

SCORE

SECTION

DATE

Problem 1. Consider the movable crane in the adjacent figure. The wheels are 4 ft apart and the center of gravity is halfway between the wheels. Assume the ballast is an external force acting one foot behind the left axle and that the weight hanging off the crane at point B is also treated as an external force. Given the weight of the crane to be 200 tons and the angle = 60. Calculate the frictional force, F, and the total normal force of both front and rear wheels.

• Mindanao State University-Iligan Institute of Technology College of Engineering

Department of Chemical Engineering and Technology Andres Bonifacio Avenue, Tibanga, 9200 Iligan City, Philippines

Telephone: +63.63.221.4056 +63.63.492.1173 Facsimile: +63.63.351.6173

ES 61 STATICS OF RIGID BODIES

NAME

SCORE

SECTION

DATE

Problem 2. Determine the support reactions of the following cases: A) A 4000 lb sport utility vehicle is parked on a 10 incline. With the parking brake set, only the rear wheels present a frictional force up the plane. B) With the driver pushing on the brake pedal both the front break and the rear wheels produce a friction up the plane.

• Mindanao State University-Iligan Institute of Technology College of Engineering

Department of Chemical Engineering and Technology Andres Bonifacio Avenue, Tibanga, 9200 Iligan City, Philippines

Telephone: +63.63.221.4056 +63.63.492.1173 Facsimile: +63.63.351.6173

ES 61 STATICS OF RIGID BODIES

NAME

SCORE

SECTION

DATE

Problem 3. In the figure, the lifting mechanism is modeled as a pin and cable arrangement. Compute the reactions at A and the tension in the cable assuming the system is in equilibrium.

• Mindanao State University-Iligan Institute of Technology College of Engineering

Department of Chemical Engineering and Technology Andres Bonifacio Avenue, Tibanga, 9200 Iligan City, Philippines

Telephone: +63.63.221.4056 +63.63.492.1173 Facsimile: +63.63.351.6173

ES 61 STATICS OF RIGID BODIES

NAME

SCORE

SECTION

DATE

Problem 4. Consider the system at equilibrium in the adjacent figure. The support mechanism has a mass of 12.5 kg and supports a load at point D of = {1200 1000 }. The sleeve support at point C acts as a simple support. The support at A is a ball and socket and that at B is a ball or roller. Compute the reactive forces at these connections.

• Mindanao State University-Iligan Institute of Technology College of Engineering

Department of Chemical Engineering and Technology Andres Bonifacio Avenue, Tibanga, 9200 Iligan City, Philippines

Telephone: +63.63.221.4056 +63.63.492.1173 Facsimile: +63.63.351.6173

ES 61 STATICS OF RIGID BODIES

NAME

SCORE

SECTION

DATE

Problem 5. Consider the bent rod ABEF which is supported by bearings at C and D and by wire AH. Given that portion of the rod is 250 mm long, determine the following:

a) the tension in wire AH b) the reactions at C and D

Assume that the bearing at D does not exert any axial thrust.

• Mindanao State University-Iligan Institute of Technology College of Engineering

Department of Chemical Engineering and Technology Andres Bonifacio Avenue, Tibanga, 9200 Iligan City, Philippines

Telephone: +63.63.221.4056 +63.63.492.1173 Facsimile: +63.63.351.6173

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