Problem 1 Consider the pulley system shown in Figure P1 comprised of several cables, a motor...

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Problem 1 Consider the pulley system shown in Figure P1 comprised of several cables, a motor with a spool, and a crate. The crate contains a water tank/aquarium. The motor produces a tension of 453.0 N in the cable connected to the spool. The motor is fixed to the ground and the system is in equilibrium. ABC D Figure P1. Pulley system. a) Determine the tension in the cable connected to point D. Provide your answer in N to at least 4 decimal places. [1 mark] Tension in cable connected to point D [N] = b) Determine the tension in the cable connected to point B. Provide your answer in N to at least 4 decimal places. [1 mark] Tension in cable connected to point B [N] = c) Determine the weight of the crate. Provide your answer in N to at least 4 decimal places. [2 marks] Weight of the crate [N] = d) Consider a 4-spring system in a series configuration. The spring stiffness coefficients are given by: k = 3000.0 N/m, k = 3360.0 N/m, k3 = 4200.0 N/m, k = 3000.0 N/m. Determine the equivalent spring stiffness for this spring system. Provide your answer in N/m to at least 4 decimal places. [1 mark] Equivalent spring stiffness of the series configuration [N/m] = e) Consider the series 4-spring system replacing the cable at point D. Determine the extension of the spring system and determine the force in the spring of stiffness 3. Provide the extension in m and the force in N to at least 4 decimal places. [2 marks] Extension of the spring system [m] = Force in the spring k [N] = Problem 1 Consider the pulley system shown in Figure P1 comprised of several cables, a motor with a spool, and a crate. The crate contains a water tank/aquarium. The motor produces a tension of 453.0 N in the cable connected to the spool. The motor is fixed to the ground and the system is in equilibrium. ABC D Figure P1. Pulley system. a) Determine the tension in the cable connected to point D. Provide your answer in N to at least 4 decimal places. [1 mark] Tension in cable connected to point D [N] = b) Determine the tension in the cable connected to point B. Provide your answer in N to at least 4 decimal places. [1 mark] Tension in cable connected to point B [N] = c) Determine the weight of the crate. Provide your answer in N to at least 4 decimal places. [2 marks] Weight of the crate [N] = d) Consider a 4-spring system in a series configuration. The spring stiffness coefficients are given by: k = 3000.0 N/m, k = 3360.0 N/m, k3 = 4200.0 N/m, k = 3000.0 N/m. Determine the equivalent spring stiffness for this spring system. Provide your answer in N/m to at least 4 decimal places. [1 mark] Equivalent spring stiffness of the series configuration [N/m] = e) Consider the series 4-spring system replacing the cable at point D. Determine the extension of the spring system and determine the force in the spring of stiffness 3. Provide the extension in m and the force in N to at least 4 decimal places. [2 marks] Extension of the spring system [m] = Force in the spring k [N] =