A 4.25 kg box is suspended from a system of massless wires attached to a ceiling. The first wire makes an angle of ?1=60.8∘ with the ceiling, whereas the second wire makes an angle of ?2=42.6∘ with the ceiling. Determine the magnitudes of tension in the first and second wires; T1 and T2 respectively.

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 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

Sphere A is attached to the ceiling of an elevator by a string. A second sphere is attached to the first one by a second string. Both strings are of negligible mass. Here m₁ = m₂ = m = 3.67 kg. = = T₁ m₁ (a) The elevator starts from rest and accelerates downward with a = 1.35 m/s². What are the tensions in the two strings in newtons? T₁ N N T2 = T₂ m₂ (b) If the elevator moves upward instead with the same acceleration what will be the tension in the two strings in newtons? Т1 T2 N N (c) The maximum tension the two strings can withstand is 89.8 N. What maximum upward acceleration (in m/s2) can the elevator have without having one of the strings break? m/s²