Part (a) Using T to describe the magnitude of the tension force in section of the rope connecting the crate to the ceiling, write an expression for the sum of the forces in the y-direction acting on the crate in terms of gravity and the variables provided.
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- Using the same force table that you used, a student was given two forces and asked to find a single force that would produce equilibrium with the two forces. The two forces were given by providing one of the components and the angle the force made with the positive x- axis. The two forces were as follows: Force 1: Fx = −2.70 N; Theta = 220.0 degreees Force 2: Fy = 3.20 N; Theta = 60.0 degrees (a) For each force, calculate the magnitude of the force and the mass required to produce it. (b) Calculate the mass and its angle of application to produce equilibrium with these two forces. Please specify your angle as counterclockwise positive with respect to the positive x-axis.The support shown below is connected to a control cable at point B and has a joint at C. For the loads shown, determine the magnitude of the reaction at the support at point C when: d1 = 0.19 m d2 = 0.25 m d3 = 0.49 m d4 = 0.47 m F1 = 263 N***IMAGE IS INCLUDED IN ATTACHMENT*** Forces F1 and F2 act on a mass m = 0.38 kg, as shown in the diagram below.The magnitudes of the forces and angles are as follows:F1 = 1.8 N, θ1 = 71 degreesF2 = 3.9 N, θ2 = 19 degreesWhat are the x and y components of the force F1?( , ) N Tries 0/2 What are the x and y components of the force F2?( , ) N Tries 0/2 What are the x and y components of the sum of these two forces (the resultant force)?( , ) N Tries 0/2 What is the magnitude of the resultant force? N Tries 0/2 What are the x and y components of the resulting acceleration of the mass?( , m/s2 Tries 0/2 What is the magnitude of the acceleration? m/s2
- The archer aims to release the arrow. As the archer pulls the cord with his right arm, he applies a 540 N force with his left hand. Given: a = 200 mm b = 300 mm c = 400 mm 1. What is the resulting tension (N) in the upper cord? 2. Calculate the tension (N) in the lower cord? 3. How much force does the archer exert with his right arm?A uniform plank of length 2.00 m and mass 29.5 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 T1 = magnitude of T2 = magnitude of T3 =In a tug-of-war game on one campus, 15 students pull on a rope at both ends in an effort to displace the central knot to one side or the other. Two students pull with force 196 N each to the light, four students pull with force 98 N each to the left, five students pull with force 62 N each to the left, three students pull with force 150 N each to the right, and one student pulls with force 250 N to the left. Assuming the positive direction to the tight, express the net pull on the knot in terms of the unit vector. How big is the net pull on the knot? In what direction?
- Using the same force table that you used, a student was given two forces and asked to find a single force that would produce equilibrium with the two forces. The two forces were given by providing one of the components and the angle the force made with the positive x- axis. The two forces were as follows: Force 1: ?? = −2.70 ?; ? = 220.0 degreees Force 2: ?? = 3.20 ?; ? = 60.0 degrees (a) For each force, calculate the magnitude of the force and the mass required to produce it. (b) Calculate the mass and its angle of application to produce equilibrium with these two forces. Please specify your angle as counterclockwise positive with respect to the positive x-axis.In the wheelbarrow, the load has a perpendicular lever arm of 7.50 cm, while the hands have a perpendicular lever arm of 1.02 m. (a) What upward force must you exert to support the wheelbarrow and its load if their combined mass is 45.0 kg? (b) What force does the wheelbarrow exert on the ground?The figure below shows a bird feeder that weighs 158.9 N. The feeder is supported by a vertical cable, which is in turn tied to two cables, each of which is attached to a horizontal post. The left cable makes a 60° angle with the post, while the right cable makes a 30° angle. What is the tension in each cable (in N)? left cable N Right cable N bottom cable N