Moment Balance: see-saw

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William Haynes

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William Haynes 9 months, 2 weeks ago

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Question statement

{geogebra_applet('yjqkjgp9',["A": A, "C": C, "theta": theta +"°"])}

{L} long rigid beam $ABC$ pivots on a frictionless pin at $B$ . Segment $AB$ is {AB} long.

Give any introductory information the student needs.

			Name	Type	Generated Value

L	quantity	quantity(10, "ft")
AB	quantity	quantity(6, "ft")
BC	quantity	quantity(4, "ft")
FC	quantity	quantity(675, "lbs")

			Name	Type	Generated Value

A	vector	vector(-6,0)
C	vector	vector(4,0)
theta	integer	150
FA	quantity	quantity(225, "lbs")

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
AB+BC

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

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Generated value: `quantity`

quantity(10, "ft")

← Depends on:

→ Used by:

This variable doesn't seem to be used anywhere.

Parts

Gap-fill
1. Gap $C$ Engineering Accuracy with units
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Gap-fill

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Determine the magnitude of force $\mathbf{C}$ required for rotational equilibrium if the magnitude of force $\mathbf{A}$ is {FA}.

$C=$ $C$

Advice

Given:

$d_1 = \var{AB}, d_2 = L - d_1 = \var{L-AB}, $

$A = \var{FA}, \theta = \var{if(theta < 90, theta, 180-theta)}° $

For rotational equilibrium:

$\sum M_B = 0$

$A \; d_1 = C \sin \theta \; d_2$

$C = \dfrac{A d_1}{d_2 \sin \theta} = \var{siground(FC,5)}$

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Gap-fill		Hasn't run yet
Engineering Accuracy with units
Engineering Accuracy with units		Hasn't run yet

This question is used in the following exams:

07. Moment of a Force by Michael Proudman in Engineering Statics.
07. Moment of a Force by William Haynes in Engineering Statics.

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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William Haynes 9 months, 2 weeks ago

William Haynes 9 months, 2 weeks ago

William Haynes 3 years, 8 months ago

William Haynes 3 years, 8 months ago

William Haynes 3 years, 8 months ago

William Haynes 3 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: `quantity`

Parts

Gap-fill

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Moment Balance: see-saw

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

William Haynes 9 months, 2 weeks ago

William Haynes 9 months, 2 weeks ago

William Haynes 3 years, 8 months ago

William Haynes 3 years, 8 months ago

William Haynes 3 years, 8 months ago

William Haynes 3 years, 8 months ago

Error in variable testing condition

Error

Warning

Generated value: quantity

Parts

Gap-fill

Generated value: `quantity`