Question

2. A person is hanging off a cliff. The cliff exerts a force of L20Up. If the person has a mass of 80 kg and the support cable that is anchored to the cliff at an angle is 60 degrees below the horizontal, then determine the force of the cable and the force of the cliff. (7) 3. A rock (mass = 150g) is being swung in a circle. The length of the string is 0.5 m. If the string makes an angle of 30 degrees with the horizontal, what is the tension in the string and what is the velocity of the rock? (6)

Answer 1

In 1st question, iam unable to find force ecerted by cliff so i solved 2nd.

Since the rock is making т a complete revolution The minimum velocity at topmost point is Th=R+Rsing =Rlitsina) R = mg A = 9R B At bottom, the speed is Vo = + 29(28) = /9R +49R NB = √5gr ta At point. c, From conservation of eiergy (at B&C) EB = Ec = mvp² = 2 m ve ²+ mgh ve? ve tag R{1+sine) V = vg_-29R(1+sino) -- SR - 29R(144) - 29R. Ve=1292 = 2(10)(05) ve ² Ve = 3.2mls Atc: R TE T + ing sin30 = mu? mu 2 mg sin3o = (0:15) (10) - (0-1)(10)(4) 0.5 3 - 0.75 Tension at ca T = 2.25 N