Question

As shown in Figure 3(a), a wooden block B with mass mg 2.4 kg on a rough inclined plane is connected to a massless spring (k 160 N/m) by a massless cord passing over a pulley P of radius R 0.25 m and mass M, 0.60 kg. The angle of the inclined plane is 0 37 and the coefficients of static and kinetic frictions are g 0.35 and A 0.30 respectively The frictional force at the axle of the pulley is negligible. The pulley can be regarded as a solid disk. The system is at rest and in this case, block B is on the verge of sliding down. (a) Р В ө Figure 3(a) i. Indicate (with labeled arrows) the forces acting on the pulley and the block. Calculate the tension in the string and the extension of the spring. (You can assume that the tensions in the cord on either side of the pulley P are the same for this part.) OOOOD

Answer 1

мре 0-6E4 кое о* 80 м - Мда.Чрат ks lbow Solidario mpepa= 4x06XC025118.27521ěny д- 0. 25 мкг 0.3 и в 2 X MM — T + Fmax = mBg Sind тя е на 8 kімф не-stopa. — )-аар. t (2.4ҳо) &#by 37°– (0435)- (blo - 24 Siи 37°. &ч (o-30(см.27°) — - Rча) — Ви. Созу ) (ч-9 — —-12-— 21-49 м) т т т = | 7.68 л) — О

ho defermine & t limer momentury before the perent Here we have four formula for Conserrahim af suqular momenten PEx Prata EX (MAEMOJ VIIE TW Anular momentary eft before Callisien Angular memeutung I ef Arms) after collisley - A uler momenting af pully. طلال العاميم تهع - Р - Смнем у чру — PA = (MAIMBIL Mp) v PA (1.24d.47026x!(pap) Re: 25.12 am s — A = 3.12 - 2abuifs

ning Work Enyx theorm. Wow - Ewfrictim OkE (MA sind) l 4 al IL MAYA ² o a_silvo AkalculФ е чле -ae &імд — ме Cula) — gels (0-3) (4) - 1 (26) 2 (ol (3-1.2 - 1x (2-6) 2 Il 2 0.9388 m (1) acceleration of MA SMB - 7 ditt B) \ (MAMES (MA+MB)g sind Iffe = (MA+MB) a gsind -7.68 Mp gaud aa - MATBL 6 - 2.1333-2.4 = a = 1.4667m/57

la = 1.4 667 m/stoner 60 talet mechatteotsugy me BESTE Canterre -AE = Whet Warsteinet, change in total Mehanical Emer = Work done by non Conservatice - fore & all frictioned forme at momenterly shop kf 20 External (KElf) + Pf(A) - ( KFW + PE(i)) = Wineho KE(E)-KEW + (PE(E) - PEU) e Wretha -IMAMO JU IKA - Wnet West A = initial extenblen unspony, TET=KA=7a68 -A 74682 Q104575m 160 LA2040 475m y=0&mls

Went a work done ley gravity went (Mat Me) g(sind) d- WheWhich onek (matme) gauso(a) Weat & Whe= (MA+MB) ga( sind ek ause) =(8.4+243410163 -(0-3) 4 ) = (3-6)(10) 0.6 - 0.24d- = 36 x (0-36) d wreat there = (30 a Weat the LLLLLLL (16)0-821 ) 63,4,4 (lolaang - = (36) (d) |-1-152-0.096+8062²-A²) = (2a96d - 1.248 +80(x² - (0.0475) ²) = 12.960 x=d Becouse sting - in in extensible.

م ده هم له هل من سكه وعلمه )= 28S مل - مكة- جامعة موعه 0 - هووو هل حلم ويو. ن د ه |