Handout 5.2.1.1 Introduction to Torque and Center of Gravity

pdf

School

University of Texas *

*We aren’t endorsed by this school

Course

1

Subject

Mechanical Engineering

Date

Apr 3, 2024

Type

pdf

Pages

3

Uploaded by CommodoreThunderOwl31

Report
I - ~OnRamps Mechanics, Heat, and Sound (PHY 302K) Name: A-J,.,!tt &~"'-"-< Handout 5.2.1.1: Introduction to Torque and Center of Gravity· 1. Describe a scenario when an object is in static equilibrium. Draw a picture of this f 0 scenario. C'\ 1 @ rz:;J f\o /\et fQV4 9/- 1 o/~~t - I\ ~, () ()~ u 2. Describe a scenario when an object is in dynamic equilibrium. Draw a picture of this scenario. 1:1/5 - J w)triJ lfVll f ~f' o 6 r~r~( t 5 r (\ r-\ 1--.b c:~ ( 011 1r,-r Mo 1 t ·rot\ () 0 f\-@1: D (Vll 7 3. What are the similarities between static and dynamic equilibrium? 'TA-< ~-e-z [ 9V C.,;f_ 'i 7 2 ~V'CJ 4. Construct the scenario below with your meter stick and supplies - 4 3 2 l I 2 3 4 4 3 2 I l 2 3 .1, 2 2 . ' . 2 Scenario A Scenario B a) What was the same with scenario A and B? -r vv '( /t)..fi? b) What was different with scenario A and B? (~ { 5 5Toi1 {( f q VI ( i fJV(//V' C (/(1 () 1 ITEXAS 'O'f'lb,T"<'t:t'A~tJ TcUA l!AtS,,w, Mechanics, Heat, and Sound1PHY 302K) I 1 //',L 7 "_r,. 1~_a·J~(ID ~, · 17\ L D ) v\ ., ~\. '-I v[ v\ l(J~ °" (/ ~q,~-{ }] ( , ~-i1 --- '\ I
··~OnRamps Mechanics, Heat, and Sound (PHY 302K) Name: ________ _ Center of Gravity Practice I . I ad on their head. 1. When visiting some countries, you may see a person ba ancing a O , . 1 b the persons neck Explain why the center of mass of the load needs to be direct Y a ove vertebrae. *It might be helpful to draw a picture of this scenario* (tf lt('ttih? vtthTl?e b,Jr (PflrJrO(tn'\~ s . "1'."t1 < 'J cv..-" 1e~ q ll'V/r~ ~rr'l.b(~ eq01(l 6v~1V1, '1"t/\~oid !ll'l -rh'i' 1 1)/;l/(J--< iilttcl,,.,.<1:.d111 r, ~r <lttf:.pv ( 9(, - l'ul. "\ .,. tfi.f c~d 1" 1" t1 ;i,, 11 - Ali h ., <'Jt(ll,r ytS(~,,~ 2. Place a chair against a wall so it cannot be slid back. Have one student sit in the chair with their feet flat in front of the chair. Place your thumb on their forehead and ask them to stand up. Why does the student struggle to stand? ~f-h-( C-ell ?-r~ q F (Yl;>\'7 ") Quantitative Practice - 3. A flat dance floor has dimensions lx = 17 m by ly = 19 m and has a mass of M = 1400 I kg. Use the bottom left corner of the dance floor as the origin. Three dance couples, each of mass m = 110 kg start in the top left, top right, and bottom left corners. a. What is the initial y coordinate of the center of gravity of the dance floor and three couples? q, 0 7 r[M i (Yl(, r~ C 9 ),_lq] v (hJq) --------- 1'1 -t c9, r_ 1 1-.,s) (lvf. (fl?).+( (9 ~II oft01llo)-t ( qf(' /~ii)) r-Ct11~ ----c11l~lt~O() ~ 1 - cY r , d(o-.ol- 0 . (1/Vl b. The couple in the bottom left corner moves 7.6 m to the right. What is the new x coordinate of the center of gravity? '/ C!Vl-:f (Vl < I< --- /h ___ [ () ( (l fJ ] + L f"l 1 ( l O )f ( 1, , / I~ j f ( . f . ( l4(J q ,-. -- ...,.c:-- (__- ....... , (l"l(9) f l///10 +a,r,'l,fj (1~ ~,OJ I l 1 ITEXAS lltrlbN,.ityN TCJ.»..l!A&mv1 Mechanics, Heat, and Sound (PHY 302K) I 2
~10nRamps Mechanics, Heat, and Sound (PHY 302 K) Name: _________ _ Extension - 4 Open the Balancing Act Ph ET simulation. Test your understanding of these concepts by playing the Balancing Act game. a. Explain your strategies for winning the game. f - - "" ,~ N'lt.. ~Su '-'Aok>n, A . , 1,.i,,...-.~ 1-cVoNI [-"1' 1.1> I- ". l ' O\"'ICI''\ I f/1 /Tl~V.e 1 ~-f c+,vi 4-< ~qc11.~1 l\ ., """'~ r CF M0i.,ei, 1 ,, 1- 1't"'--o r1.rrt '11 - ½ ._ tilt§ C:t\v ,7'111J fl,OI") 5, "I l fv< r1 z.. · 71..,..,...5" rt~ F 1 Y, fr lh?t7, < '/ vi, '1Jtt..-1 ~&r ·11 i Pi 7 F4v cvd 4'1P,.,,, H J._"' Pvc , < vr 7111, '7 -i? PAV tvl"' 7 ? <.(f, /: (;!p;1z5 1 6 i 1 r ~ 11 r ,r : tJ 1 n~ v tnP11~ (Q(r.-1/1 ("a/,,- < 11.( v-1 'cl (/.V\ b. What difficulties did you encounter? I r'~ - Z/V' '-{J (V\ Mechanics, Heat, and Sound (PHY 302K) I 3 I
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
  • Access to all documents
  • Unlimited textbook solutions
  • 24/7 expert homework help