Question

A uniform plank of mass 30kg and length 20m is supported by two ropes T1 and T2 attached as shown on the diagram. Two masses 20kg and 25kg are suspended are shown to keep the plank in equilibrium. Find the tension T1 and T2 due to the two ropes.

4. A uniform plank of mass 30 kg and length 20 m, is supported by two ropes, Ti and T2, attached as shown on the diagram. Two masses, 20 kg and 25 kg are suspended are shown to keep the plank in equilibrium. Find the tensions Ti and T2 due to the two ropes. (5 points) L - 2 L=20m 20 25 (30)(9.8) 294 N Ź Tso Tm, & (20kg) (9.8 -1) (5m2+ T210) (2949) (5m) + Tz (10) TELA

I'm having trouble with this question. Would love to see the actual work, so I can understand the concept.

Answer 1

- T9 The rieuw La 45 VIN The plank is uniform, so its - weight acts through its centre plank es → Fret =0 & Thet zo lv Fref=o . I mig ng mg) + Tit T2 # mitm+m + 11 + 12 = (20+ 30+25) 9.8 = 73511 0 : - Thet zo about the point A (ie, one of the rope O passing through) About point A mig produces anté clockwise taque mig(4) About point A Ti powoluces gero torque tie=0 About perst A ng poroduces clockworse tzquee Mg () Aboret pornt A Tz proclieces ante clock wise toque TELL - About point- A meg porodices clockwise t&quee Megle5) Yhet = = *Y cladecarse 'ante clockutse - -> - mg + may (34) = mg 24 + T2 (22) (+ - galeria To = 2 (2+ 30p) - 2) 98 = 416.5N @ o Ti= 735 – T2 = 735 - 416-5= 318.5 N from