Physics

Patulong naman po :D

A non-uniform bar weighs 400 N and is 4 m long. When it is supported by an fulcrum at its midpoint, a load of 80 N must be supplied at the smaller end to hold the bar in a horizontal position. Where is the center of gravity?

Physics

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A mass of 20kg is projected up an inclined of 26 degrees with a velocity of 4 m/s. If the coefficient of friction is 0.2, find i) the maximum distance that the package will move along the plane. and ii) what will be the velocity of the package when it comes back to initial position.

patulong naman about sa maxima and minima

point A and B are opposite to each other on the shores of a straight river 5km wide. point F is on the same shore as B but K kilometers down the river from B. Atelephone company wishes to lay a cable from A to f where the cost per km of the cable on land is 10,000 US dollar and under the water is 12,500 US dollar. Let P be a point on the same shoreas B annd Fso that the cable runs from A to P to F.(a)if X kilometer is the distance from B to P obtain an equation defining (x) if C(x) dollars is the total cost of laying cable and state the domain of C.

Solid Mensuration (Finding the weight)

A large rectangular-shaped barge floats in a river, and a mark is made on the side at the level of the water. The
barge is 16 ft. long by 7 ft. broad. When a load of gravel is emptied into the barge, the barge sinks 4 ½ in. Find the
weight of the load of gravel. (The sides of the barge are made of comparatively thin wood, and the effect of the
immersion of the sides an extra 4 ½ in. may be neglected.

(Please help me with these questions)

solid mensuration

Solid Mensuration
by: Kern and bland
page 85

#15 Question
a block similar to the one considered in prob.3 (page 83) has a volume of 2000 cu.ft. find its altitude?

#16 Question
the space occupied by the water in a reservoir is the frustum of a right circular cone. each axial section of this frustum has an area of 8800 sq.ft. and the diameter of the lower and upper bases are in ratio 6:5. if the reservoir contains 13,600,00 gal. find the dept the water?

solid mensuration

solid mensuration by Kern and bland
page 85

#13
Question: in the solid shown in page 84,edge AB is perpendicular to the base BDC and AEF. find the volume of the solid if BD is parallel to AE.?

page 85 #14
Question: the earth remove from a trench 8ft. deep 14ft. wide at the top and 10ft. wide at the bottom is thrown along side the trench so as to form a bank sloping on each sides at the angle to the horizontal. if the height of bank is three-fourth the width of its base. find the height of the bank.

Rigid frame calculation

I need assistance with below problem:

Known are: a, h, I1, I2, q. Problem find moment at C. The beams are rigidly connected at "C"!

clipboard01.jpg

Apparently the right solution is:

Mc=q*a^2/12 * 1 / (1+2*h*I1/a*I2), while mine solution is Mc=q*a^2/12 * 1 / (1+h*I1/a*I2).

I have used superposition method, cut the frame at "C", add moment Mc, and equating the slopes of the vertical beam CD and loaded portion of the horizontal beam AB that is CB.