A ball of mass 3 kg is suspended at rest by two ideal ropes connected to the ceiling at points 1 and 2 as shown. The angle between the horizontal and rope 1 is 0 = arctan(4/8) 26.57 deg. 1 2 Determine the magnitude of the tension in the rope connecting the ball to point 1. (in N) 10. AO 28.1 ВО 32.9 38.5 DO 45.0 ЕО 52.7

A 200 N sign hangs from the middle of a cable between two buildings. The ends of each cable are attached to each building at the same height. The cable cannot exceed 1500 N without breaking. Find the minimum angle that the cable can make from the horizontal.

Create a FBD for segment 2 that is attached to the lower end of the cord. Assume, for the moment, that the weight is in equilibrium.  Given:  Enumerate the segments as i=1,⋯,N from the lower to the upper end.   Let T0 be the tension at the lower end of the cord.   Let Ti be the tension at the upper end of segment i.   Let Fg,M be the weight of the mass on the end of the cord.   Let Fg,i be the weight of segment i of the cord.

Two blocks of mass m 10 kg and mg 5 kg are connected by a massless string that passes over a pulley as shown in the figure. The system is in static equilibrium. There is friction between m and the inclined surface (4=0.4). Neglect the friction between the string and the pulley. Determine the static friction force in the system. 10 kg 5.0 kg 37 49 0 N 29.3 N 39.2 N 33.9 N 9.98 N

Children playing pirates have suspended a uniform wooden plank with mass M = 13.4 kg, length ℓ = 2.40 m, and angle θ = 35.0°, as shown in the figure. Sophia, with a mass of m = 21.6 kg, is made to "walk the plank" and is d = 1.5 m from reaching the end of the plank. What is the tension acting on the rope at the end (i.e value of F3)?

Two blocks of mass m1 = 3.0kg and m2 = 2.5kg are attached with a rope. The rope goes around several ideal pulleys.  Two of the pulleys are attached directly to the ceiling (grey shaded region at the top) and will not move up or down. The lower pulley will move with block 1.  Block 1 is free hanging and will move vertically.  Block 2 rests on an inclined ramp at angle θ = 30°. The ramp is frictionless.  Block 1 is observed to accelerate upwards.  The experiment is done on earth, g = 9.8 m/s2  What is the tension in the long rope?  by using variables only

In a “Giant Swing” shown in figure, the seat is connected to two cables. One is from the top of the central shaft which makes an angle of 40.0° with the vertical and the other cable of 7.50 m is horizontal. The seat swings in a horizontal circle at a rate of 25.1 m/s. If the seat weighs 245 N and a 540 N person is sitting in it, find the tension in each cable.

A toy aeroplane of mass m = 1,80 kg is attached to a string of length e = 33.0 m and flys in uniform circular motion in a horizontal plane around the centre of its motion. The plane has an engine which generates thrust that keeps the plane moving at a speed of v = 30.7 km/hr. (a) What is the period of the circular motion? Period = S (b) What is the tension in the string holding the aeroplane in its circular motion? Tension = Part 3) A block sits on a sloping plane that can have its angle to the vertical p varied. The angle o initially starts at a value of 90°, and the slope is raised until at an angle o E 33.2° the block starts to slide down the slope. Calculate the coefficient of static friction for this block on this slope.

=J (e) (b) Fe= () 6. A pendulum that consists of a ball (m = 1.50 kg) attached to a light cord rotates in a circular path of radius r = 0.800 m at constant speed v, as shown in Figure. Here the angle 0 = 65°, and we ignore air friction and assume the mass of the light cord is negligible. (a) Calculate the tension T in the cord. = L. (b) Calculate the centripetal force acting on the ball. = 'd (c) Calculate the velocity v of this uniform circular motion. Answers:

A 0.420-kg pendulum bob passes through the lowest part of its path at a speed of 3.21 m/s. (a) What is the magnitude of the tension in the pendulum cable at this point if the pendulum is 74.0 cm long? N (b) When the pendulum reaches its highest point, what angle does the cable make with the vertical? (Enter your answer to at least one decimal place.) (c) What is the magnitude of the tension in the pendulum cable when the pendulum reaches its highest point? N