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Cycle graph and Chrono cycle graph Principles of Motion Economy Design of Workplace Layout Work Measurement Selection of job and worker for Time Study Dividing Work into Short Elements Number of cycles to be timed Normal Performance System of Rating Example of system of rating Allowances Types of allowances Example of allowance Work Sampling Observations in work sampling study Predetermined Motion Time System Physiological Methods for Work Measurement Plant layout Process layout Fixed Position layout Quality introduction Quality aspects Evolution of Quality Historical Aspects of Quality Quality Control Quality Costs Traditional and modern view of Quality Costs Normal Cost of Quality Distribution Histograms Run Chart Pareto Chart Flow chart and scatter diagrams Cause and Effect Diagrams Control Charts Types of Process Data Example of Control charts for the variable type of data.
Control charts for Attribute type data Example of P-chart Example of c-chart Process Capability for Bilateral and unilateral Specification Measuring Process Capability Flow Chart for Conducting a Process Capability Possible Applications of Process Capability Index Facility location Analytical Methods of Location Planning The total height of the tank is 5 meters.
Water is pumped into the tank at ANS. How long will it take to full fill the tank starting from empty? Find the area of the shaded portion: 1. A straight line passes through 2,2 such that the length of the line segment intercepted between the coordinate axes is equal to the square root of 5. Find the equation of the straight line.
Find the equation of the circle with center at 2,-3 and radius of 4. A cable supporting a pipeline has a span of feet. The 2. If tangents to the graph have slope of 9. A rectangular field to contain a given area is to be fenced off ANS. If no fencing is needed along the river, show that the least amount of fencing will be required when the 6. Find the area of an ellipse whose equation is length of the field is twice its width.
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Find the shape of the largest rectangle that can be inscribed in a 7. It passes through points given circle. Square specific equation of the given curve. Divide the number 60 into two parts so that the product P of one part and the square of the other is a maximum. Find the volume of the solid which is formed by revolving the ANS.
When a load is uniformly distributed horizontally, a suspension 7. A square sheet of galvanized iron, cm x cm will be bridge cable hangs in parabolic arc. If the bridge is m long used in making an open-top container by cutting a small square and the towers 40m high and the cable is 15m above the floor from each corner and bending up the sides. Determine how of the bridge at the mid-point, find the equation of the parabola large the square should be cut from each corner in order to using mid-point of the bridge as origin.
The sum of two positive numbers is What are the numbers if their product is to be the largest possible? Find the equation of the tangent and normal to the ellipse ANS. A bus company charges P Two posts, one 8 meters high and the other 12 meters high, Baguio for or less passengers.
For group tours, the stand 15 meters apart. They are to be stayed by wires attached company allows for P0. How many passengers will give the of the posts. How far from the shorter post should the stake be maximum income? A tinsmith wishes to make a gutter of maximum cross-section A cylindrical glass jar has a metal top. If the metal costs three carrying capacity whose bottom and sides are each 6 inches times as much as the glass per unit area, find the proportions of wide and whose sides have the same slope.
What will be the the least costly jar that holds a given amount. The parcel post regulations limit the size of a package to such a A lot is in the shape of a quadrant of a circle of radius size that the length plus the girth equals 6 feet. Determine the meters. Find the area of the largest rectangular building that dimensions and the volume of the largest cylindrical package can be constructed inside the lot.
The cost of setting up a geothermal plant is P10M for the first The material for the sides costs other expenses Land rights, design fee, etc. P per square meter and for the ends P per square meter. A boat is towed toward a pier which is 20 feet above the water. How fast is the boat If the fuel cost to run a boat is proportional to the square of her approaching the base of the pier when 25 feet of rope remain to speed and is P A water tank is in the form of a right circular cone with vertex ANS.
How fast is the The strength of a rectangular beam is proportional to the surface of the water in the tank rising when the water is 5 feet breadth and the square of the depth. Find the dimensions of the deep? A helicopter is rising vertically from the ground at a constant 2. An ellipsoidal tank measuring 6 ft by 12 ft has its axis vertical, rate of 25 ft per second.
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When it is feet of the ground, a the axis of rotation being the major axis. It is filled with water jeep passed beneath the helicopter traveling in a straight line at to a depth of 7 feet. Find the amount of water in the tank. Determine how fast is ANS. Work with the part of the volume lying in the first An elevated light rail transit on a track 4. Since the curve of the intersection lie on the cylinder, it ground crosses a street station at 6.
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A plane flying north at km per hour passes over a certain ANS. If the planes 5. An open cylindrical tank 3 feet in diameter and 4. It is then tilted until one-half of its bottom is at PM? How many gallons of water was spilled out? The height of a cylindrical cone is measured to be four 4 6. The parabolic reflector of an automobile headlight is 12 inches meters which is equal to its radius with a possible error of 0.
What is the surface area in Determine the percentage error in computing the volume. A cistern in the form of an inverted right circular cone is 20 one pair, plus one-third the product of another pair, plus one- meters deep and 12 meters diameter at the top. If the kilojoules fourth the product of the third pair may seem to be a maximum in pumping out the water to a height of 10 meters above the top value.
Clue: use partial differentiation of the cistern. A flour bag originally weighing 60 kilograms is lifted through 6. While the bag is being lifted, of brine wherein lbs of salt are dissolved. If the amount of salt in the tank at the end of minutes. A body weighing kilos is suspended by a cable 20 meters 1. Solve the differential equation long and pulled 5 meters to one side by a horizontal force. The rate of population growth of a country is proportional to 2. The arm ABC, weighing 60 kg per meter carries a load of 15kg the number of inhabitants.
Compute the population 20 years from now? In drying copra by a certain process, the moisture is removed at a rate proportional to the actual moisture present. Find the minimum force P required to roll the kg wheel 5. The coefficient of P static friction is 0. Prevent the block from sliding down the plane.
A steam pipe weighing kg per meter will cross a road by suspension on a cable anchored between supports 6 meters 4. A force P on top of the 30 kg block as shown in the figure. If apart. The maximum allowable sag of the cable is 50cm. Calculate the tension in the cable 0. Calculate the length o the cable. A parabolic cable has a span of feet. The difference in 50cm elevation of the supports is 10 feet and the lowest point of the A 30kg B cable is5 feet below the lower support.
If the load supported by the cable is 12 lbs per horizontal foot, find the maximum 25cm tension in the cable. A tripod whose legs are each 4 meters long supports of horizontal. The angle of static friction between the body and kilograms.
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