4 particles are connected and suspended, as shown in Figure 1, by 5 massless, no

Question

4 particles are connected and suspended, as shown in Figure 1, by 5 massless, non-stretching strings, and one massless bar. a. Draw a free body diagram for each particle, including the angles. b. What is the tension in the top string holding up the whole system? c. Set up, but do not solve, the equations necessary to find the other tensions and the normal forces if the system is in equilibrium. Friendly Formula K.E. = 1/2mv^2 P.E._grav = mgh P.E._spring = 1/2 k (Deltax)^2 E_Total = K.E + P.E. E_T,i = E_T,f W_n.c. = DeltaE_T weight Force: w = , where g = 9.81 m/s^2 Friction Force Magnitude: F_friction = mu_k N, where N is the Normal Force Magnitude

Explanation / Answer

Here, For m4 mass

=> 2T * cos45 = 17 * 9.8

=> T = 117.8 N

=>   For mass m1

=>   T' * sin45 = T * sin45 + 11 * 9.8

=>   T'   =   34.65 N

=> For mass m2

=>    TR = 2T' * cos45 + 17 * 9.8

=>    TR =   2 * 34.65 * cos45 + 17 * 9.8

              = 215.602 N

=>   Tension in top string holding whole system =   215.602 N

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