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- To get up on the roof, a person (mass 70.0 kg) places 6.00-m aluminum ladder (mass 10.0 kg) against the house on a concrete pad with the base of ladder 2.00 m from the house. The ladder rests against a plastic rain gutter, which we can assume to frictionless. The center of ladder is 2.00 m from the bottom. The person is standing 3.00 m from the bottom. Find the normal reaction and friction forces on the ladder at its base.A uniform plank of length 2.00 m and mass 31.5 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 715–N person is d = 0.500 m from the left end. magnitude of T1 N magnitude of T2 N magnitude of T3 NForces F1, F2, and F3 act on the structure depicted in the figure, shown in an overhead view. We wish to put the structure in equilibrium by applying a force, at a point such as P located a distance d from F1, whose vector components are Fh and Fv. We are given that a = 2.1 m, b = 2.6 m, C = 1.15 m, F1 = 18.05 N, F2 = 11.05 N, and F3 = 4.85 N.Find Fh.
- A wooden stick, 1.00 meters in length has a mass of 213 g. There are masses located on this wood stick: 253 g at 44.9 cm, 191 g at 81.9 cm, and 209 g at 97.9 cm. Where on this wooden stick would you need to suspend the stick for it to be in balance?The distance between two telephone poles is d = 54.0 m. When a 1.20 kg bird lands on the telephone wire midway between the poles, the wire sags h = 0.206 m. How much tension (in N) does the bird produce in the wire? Ignore the weight of the wireAssuming that the system is in equilibrium, find the value of m3, knowing that: * r1 = 1.5 m *r2 = 0.9 m *r3 = 1.7 m m1 = 11 kg m2 = 3.1 kg m3 = ?
- Two blocks of masses m1 = 2kg & m2 = 5kg are placed incontact with each other on a frictionless surface with angle θ =60oas in active Fig. Find the magnitude of the acceleration andtension of the system.If a particle or a body is in equilibrium under the action of three forces, what can you say about the lines of action of the three forces?Determine the magnitude of the y-component of force Q (N) if P=108.8 N, Q = 72.5 N , θ= 42.25° and α = 43.45°. Round off only on the final answer expressed in 3 decimal places. Instead of units, indicate the direction of the y-component.
- Four bricks of length L, identical and uniform, are stacked on top of one another in such a way that part of each extends beyond the one beneath. Find, in terms of L, the maximum values of (a) a1, (b) a2, (c) a3, (d) a4, and (e) h, such that the stack is in equilibrium, on the verge of falling.One of the first ion engines on a commercial satellite used Xenon as a propellant and could eject the ionized gas at a rate of 2.98 ✕ 10−6 kg/s with an exhaust speed of 3.04 ✕ 104 m/s. What instantaneous thrust (in N) could the engine provide? (Enter your answer to at least three significant figures. Enter the magnitude.)A block and sphere are connected by a cord that passes over a pulley as shown. Neglect friction and assume the cord is massless. Take m1 = 2.00 kg, m2 = 6.40 kg, and θ = 49.5°. If the incline under m2 is rough, what is the minimum value of the coefficient of static friction μs for which the system will not move?