caltech in scientific calculators, Cheat Sheet of Technology

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CALCULATOR

TECHNIQUES

CALCULATOR

Mode 2 :

CMPLX

(Complex)

This is the MODE used in computing problems involving COMPLEX NUMBERS. To CONFIGURE the SETTINGS on MODE 2: COMPLEX PRESS: [ SHIFT ] – [ 2] OPTIONS (after pressing): [ 1 ] – ARG (ARGUMENT) [ 2] – CONJG (CONJUGATE) [ 3 ] – r ‹ θ [ 4 ] – a + bi

Mode 3 : STAT

(Statistics)

This is the MODE used in computing problems involving STATISTICS and REGRESSION. VARIATION [ 1 ] , LINEAR [ 2 ], QUADRATIC [ 3 ], LOGARITHMIC [ 4 ], EXPONENTIAL [ 5 ], To CONFIGURE the SETTINGS on MODE 3: STAT PRESS: [ SHIFT ] – [ 1] OPTIONS (after pressing): [ 1 ] – TYPE [ 2] – DATA [ 3 ] – SUM [ 4 ] – VAR (Variation) [ 5 ] – DISTR (Distribution) [ 6 ] - MinMax

Mode 6:

MATRIX

This is the MODE used in computing problems involving MATRIX ANALYSIS. Mat A [ 1 ], Mat B [ 2 ] & Mat C [ 3 ] To CONFIGURE the SETTINGS on MODE 6: MATRIX PRESS: [ SHIFT ] – [ 4] OPTIONS (after pressing): [ 1 ] – DIM (Dimension) [ 2] – DATA [ 3 ] – MATRIX A [ 4 ] - MATRIX B [ 5 ] – MATRIX C [ 6 ] – MatAns (Matrix Answer) [ 7 ] – Det (Determinant) [ 8 ] – Trn (Transpose)

Mode 7 :

TABLE

This is the MODE used in GENERATING A NUMBER TABLE based on ONE OR TWO FUNCTIONS.

Configuring

Your

Calculator’s

SETUP

To CONFIGURE the SETUP of your CALCULATOR ENTER: [ SHIFT ] – [ MODE ] 1 st OPTIONS ( after pressing) [ 1 ] – MthIO [ 2] - LineIO [ 3 ] – Deg [ 4 ] – Rad [ 5 ] – Gra [ 6 ] – Fix [ 7 ] – Sci [ 8 ] – Norm 2 nd OPTIONS (scroll down) [ 1 ] - ab/c [ 2 ] – d/c [ 3 ] – CMPLX [ 4 ] - STAT [ 5 ] – Disp [ 6 ] - Contrast

SEMICOLON

ENGINEERING

MECHANICS

RIGHT ANGLE TECHNIQUE

The “Rec” and “Pol” Functions PRESS: [ SHIFT ] – [ + ] For “POL” Function PRESS [ SHIFT ] – [ - ] For “REC” Function The “Rec” function converts POLAR COORDINATES (r< θ ) into RECTANGULAR COORDINATES(x,y). The “Pol” function converts RECTANGULAR COORDINATES(x,y). into POLAR COORDINATES (r< θ ).

COMPONENT OF A 2D FORCE

Example. In the figure shown, Find the x and y component of the force F if F = 4000N and θ = 32. o Solution: Applying the RIGHT ANGLE TECHNIQUE Let: r = 4000N and θ = 32. o Input: [ SHIFT ] – [ - ] – [SHIFT] – [ 4000 ] – [SHIFT] – [ ( ] – [ 32.3 ] – [ ) ] Display: Rec(4000,32.3) Press [ = ] Display: x = 3381.047333 Fx y = 2137.409398 Fy PRESS: [ SHIFT ] – [ + ] For “POL” Function [ SHIFT ] – [ - ] For “REC” Function

MODE 2: COMPLEX

Argand Diagram (Complex Plane) Where: r = absolute value or modulus Θ = argument or amplitude a is the real axis and b is the imaginary axis Similarly with Cartesian Coordinate Plane the Complex Plane has the following forms too; r < θ is the POLAR FORM a + bi is the RECTANGULAR FORM NOTE: Θ IS ALWAYS MEASURED FROM THE ORIGIN (COUNTER CLOCKWISE)

Example. In the figure shown, Find the x and y component of the force F if F = 4000N and θ = 32. o Solution: Applying Complex Mode Let: r = 4000N and θ = 32. o Press: [Mode] – [ 2 ] ‘The Calculator now is in CMPLX MODE’ Input: [ 4000 ] – [ SHIFT ] – [ ( - ) ] – [ 32.3 ] Display: 4000 < 32. Press [ = ] Display: 3381.047333 + 2137.409398i a = 3381.047333 Fx b = 2137.409398 Fy

COMPONENTS OF A 2D FORCE

PAST CE BOARD:

For the forces in the figure shown.

a. Find the magnitude of the horizontal

component of the resultant.

b. Find the magnitude of the resultant.

c. Find the angle that the resultant

makes with the x-axis.

CONCURRENT – COPLANAR FORCE SYSTEM