A bag of cement weighing 325 N hangs in equilibrium from 3 wires as suggested in the figure. Two of the wires make angles 1 = 60 deg. and angle 2 = 4o deg with the horizontal. Assuming the system is in equilibrium, find the forces (tensions) T1, T2, and T3 in the wires.

Current Attempt in Progress In a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture. The tire remains stationary in spite of the three pulls. Alex pulls with force FA of magnitude 218 N, and Charles pulls with force Fcc magnitude 175 N. Note that the direction of Fc is not given. What is the magnitude of Betty's force FB if Charles pulls in (a) the direction drawn in the picture or (b) the other possible direction for equilibrium? 150° Alex (a) Number (b) Number Charles Betty Units Units 2

A uniform plank of length 2.00 m and mass 29.0 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 685-N person is d = 0.500 m from the left end. magnitude of Í magnitude of Í N magnitude of Í N 40.0° « d =| 2.00 m

In the figure, a 499 kg construction bucket is suspended by a cable A that is attached at O to two other cables B and C, making angles 0₁ = 51.0° and 9₂ = 54.0° with the horizontal. Find the tensions in (a) cable A, (b) cable B, and (c) cable C. (Hint: To avoid solving two equations in two unknowns, position the axes as shown in the figure.) B C 0₂

Write the solution on a paper and round to 4 decimal places

A bag of cement weighing 525 N hangs in equilibrium from three wires as suggested in the figure below. Two of the wires make angles ?1 = 61.0° and ?2 = 42.0° with the horizontal. Assuming the system is in equilibrium, find the tensions T1, T2, and T3 in the wires. T1 = N T2 = N T3 =.

A mass M1 = 4.1 kg mass is suspended from the ceiling and a mass M2 = 4.3 kg is suspended under it, as shown. The tensions in the strings are labeled  and . A hand exerts an upward force of 22 N on the lower mass mass. Calculate the magnitude of the tension T1

Three main forces that act on the patella, and are shown on the diagram below. These forces are the quadriceps muscle force (FQ), the patella ligament force (FPL), and the patellofemoral joint reaction force (FPF). The angles a and ẞ are with respect to a line that is perpendicular to FPF. Assuming a = 10°, ẞ = 30°, and FQ = 4000 N, use the equations for static equilibrium to calculate the FPL in Newtons. Round to an integer, such there is no need for a decimal. FQ FPF FP B

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

A bag of cement whose weight is Eg hangs in equilibrium from three wires as shown in Figure. Two of the wires make angles 01 and 02 with the horizontal. Assuming the system is in equilibrium. What is the tension in the left-hand wire? Fg cos 02 a) T1 sin(8,+82) Fg sin 02 sin(e,+82) b) T1 2Fg cos 02 c) T1 sin(e,+02) 2Fg sin 82 d) T = cos(e,+02) 3Fg sin 02 e) T1 cos(e,+02) CEMENT