A mountain climber, in the process of crossing between two cliffs by a rope, pauses to rest. She weighs 525 N. As the drawing shows, she is closer to the left cliff than to the right cliff, with the result that the tensions in the left and right sides of the rope are not the same. Find the tensions in the rope to the left and to the right of the mountain climber. 80.0⁰ TL= i TR= i -65.0°

Three rugby players are pulling horizontally on ropes attached to a box, which remains stationary. Player 1 exerts a force F equal to 200 N at an angle 0, equal to –60.0° with respect to the +x-direction, as shown in the figure. Player 2 exerts a force F2 equal to 300 N at an angle 02 equal to 37.0° with respect to the +x-direction. The view in the figure is from above. Ignore friction and note that gravity can be ignored in this problem. Determine the force F3 exerted by player 3. State your answer by giving the x- and y-components, F3, and Fay, respectively. F, F3x -339.59 N F3y N Player 3's rope breaks, and player 2 adjusts by pulling with a force of magnitude F; equal to 250 N at the same angle as before. Defining angles above the x-axis as positive and those below as negative, at what angle 0 is the acceleration of the box relative to the +x-direction? The magnitude of the acceleration is measured to be 10.0 m/s?. What is the mass m of the box? kg m = F TOOLS x10

Two cables suspending a 100 kg object. The cables are at different angles from the horizontal. T2, 1 One (T1) is 35° and the other (T2) 42°. Find the tension on T1. 100 kg

A wracking ball is suspended below two cables each at an angle with the horizontal. The left cable has tension T1 and angle 38 degrees with the horizontal. The right cable has tension T2 and angle 27 degrees with the horizontal. The Wracking ball has mass 200 kg. Find the magnitude of tension T1. T2 1

A bag of cement of weight 326 N hangs from three wires as shown. Two of the wires make angles ₁ = 60.0° and 9₂ = 25.0 ° with the horizontal. If the system is in equilibrium, find the tension T₂ in the wire. Specify your answer as an integer i.e. with no decimals. Do not include units. Ti 0₁ T3 0₂ T₂ 10 W