Monthly archive | MATHalino

From the circular disk of diameter 100mm is cut out a circle whose diameter is the radius of the disk. F ind the center of gravity of remaining portion.

Determine the support reactions.

Read more about Trusses
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how to solve the tension force of a two ropes connected in a box of 100lb and is being hang. the angles of the ropes are 60? Meaninig the box is in the center.

Problem
Find the area individually enclosed by the following Cardioids:
(A) $r = a(1 - \cos \theta)$
(B) $r = a(1 + \cos \theta)$
(C) $r = a(1 - \sin \theta)$
(D) $r = a(1 + \sin \theta)$

Problem
Player M has Php1, and Player N has Php2. Each play gives one the players Php1 from the other. Player M is enough better than player N that he wins 2/3 of the plays. They play until one is bankrupt. What is the chance that Player M wins?

A. 3/4	C. 4/7
B. 5/7	D. 2/3

Read more about Two Gamblers Play Until One is Bankrupt: Chance That the Better Player Wins
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Problem
Find the area bounded by $r = a \sin 3\theta$ and $r = a \cos 3\theta$.

Read more about 08 Area Enclosed by r = a sin 3θ and r = a cos 3θ
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Problem
Find the area bounded by $r = a \sin 2\theta$ and $r = a \cos 2\theta$.

Read more about 05 Area Enclosed by r = a sin 2θ and r = a cos 2θ
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Problem
Find the area enclosed by r = 2a cos² θ.

Read more about 01 Area Enclosed by r = 2a cos^2 θ
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I'm learning how to do reactions with the Three Moment Theorem and in the solution for problem 830, it has 1077.27/12 = 538.64.....this clearly isn't correct.

Am I missing something? I tried searching to see if this has been addressed elsewhere, but some guidance would be very helpful and many thanks in advance.

Problem
Find the area enclosed by the following:

(a) $r = 2a \cos \theta$
(b) $r = 2a \sin \theta$

Read more about 07 Area Enclosed by r = 2a cos θ and r = 2a sin θ
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November 2017

Mechanics

Trusses

vector analysis

03 Area Enclosed by Cardioids: r = a(1 + sin θ); r = a(1 - sin θ), r = a(1 + cos θ), r = a(1 - cos θ)

08 Area Enclosed by r = a sin 3θ and r = a cos 3θ

05 Area Enclosed by r = a sin 2θ and r = a cos 2θ

01 Area Enclosed by r = 2a cos^2 θ

Solution to Problem 830

07 Area Enclosed by r = 2a cos θ and r = 2a sin θ