HW5 Prob1

Error

There was an error loading the page.

Contributors

Feedback

From users who are members of SFY0010 :

Vladimir Vingoradov

said

Ready to use

7 years, 4 months ago

History

○

Vladimir Vingoradov 4 years, 4 months ago

Published this.

○

Vladimir Vingoradov 7 years, 4 months ago

Gave some feedback: Ready to use

○

Vladimir Vingoradov 7 years, 5 months ago

Created this as a copy of HW5 Prob1.

Name	Status	Author	Last Modified
HW5 Prob1	Ready to use	Vladimir Vingoradov	11/03/2025 17:07
HW5 Prob2	Ready to use	Vladimir Vingoradov	02/12/2024 14:55
Friction: Range of values 1	Ready to use	William Haynes	10/04/2023 10:42
Friction: Determine direction of $F_f$	Ready to use	William Haynes	21/05/2023 16:56

There are 12 other versions that do you not have access to.

Question statement

Determine whether the block shown is in equilibrium and find the magnitude and direction of the friction force when $\theta=\var{th}^\circ$ and $P=\var{P}\,\text{N}$

Give any introductory information the student needs.

			Name	Type	Generated Value

th	integer	60
P	integer	280
normal_force	number	564.4
mu_s	number	0.2
mu_k	number	0.15
friction_force_trial	number	108.7
max_friction_force	number	112.9
equil	list	[ 1, 0 ]
friction_force	number	108.7
direction	list	[ 1, 0 ]
direction_string	string	up the slope

Automatically regenerate variables?

Name

Data type

Value

A random number between and (inclusive) with step size

Description

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

Can an exam override the value of this variable?

Generated value: `integer`

→ Used by:

friction_force_trial
normal_force

This variable doesn't seem to be used anywhere.

Parts

Gap-fill
1. Gap Gap 0. Choose one from a list
  Add
2. Gap Gap 1. Number entry
  Add
3. Gap Gap 2. Choose one from a list
  Add

Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

(a) Is the block in equilibrium? Gap 0.

(b) The magnitude of the friction force (N) is Gap 1.

and it is directed Gap 2.

Advice

(a)

Assume equilibrium

$+\!\!\nearrow\sum F_y=0,\quad\implies\quad N-(800\,\text{N})\cos 25^\circ +(\var{P}\,\text{N})\sin(\var{th}^\circ-25^\circ)=0$

$N=\var{normal_force}\,\text{N}$

$+\!\!\searrow\sum F_x=0,\quad\implies\quad -F_\mu+(800\,\text{N})\sin 25^\circ-(\var{P}\,\text{N})\cos (\var{th}^\circ-25^\circ)=0$

$F_\mu=\var{friction_force_trial}\,\text{N}$ is required for equilibrium.

Maximum friction force: $F_m=\mu_s N=0.2\times\var{normal_force}=\var{max_friction_force}\,\text{N}$

Since $|F_\mu| > F_m$ , the block is sliding,

(b)

and the magmitude of the friction force is

$F_\mu=\mu_k N=\var{abs(friction_force)}\,\text{N},\quad\var{direction_string}$

Since $|F_\mu| \le F_m$ , the block is in equilibrium, and

(b)

The magmitude of the friction force is

$F_\mu=\var{abs(friction_force)}\,\text{N},\quad\var{direction_string}$

Give a worked solution to the whole question.

URL

Text alternative
URL

Text alternative

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Choose one from a list
Choose one from a list		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Choose one from a list
Choose one from a list		Hasn't run yet

This question is used in the following exams:

Homework 5 Friction + Solutions by Vladimir Vingoradov in SFY0010.
tutorial: fiction by Vladimir Vingoradov in ENG1507 Mechanics 1.

Loading...

Error

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Vladimir Vingoradov 4 years, 4 months ago

Vladimir Vingoradov 7 years, 4 months ago

Vladimir Vingoradov 7 years, 5 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

Loading...

Error

HW5 Prob1

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Vladimir Vingoradov 4 years, 4 months ago

Vladimir Vingoradov 7 years, 4 months ago

Vladimir Vingoradov 7 years, 5 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`