A 16 kg block rests on a 29 degree inclined frictionless surface and is attached by a light string to a 29 kg hanging mass where the string passes over a massless frictionless pulley. If g = 9.8 m/s2, what is the tension in the connecting string?
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- 7. A mass m₁ = 5.00 kg is connected by a light string that passes over a pulley of mass m3 = 7.5 kg to a mass m2 6.50 kg sliding on a frictionless inclined surface that makes an angle of 33° with the horizontal (see figure). The coefficient of kinetic friction between the mass m₁ and the horizontal surface is 0.25. There is no slippage between the string and the pulley. What is the magnitude of the tension that is acting on mass m₁? (The moment of inertia of the pulley is 1/2Mr².) f60 ssf60 ssf60 ssf60 ssf60 0 m₂ ssf60 ssf60 ssf60 ssfóossf60 s m₁ 0 ssf60 s f60 ssfooms oss is = ss mojss (9jss (9Jss is 1919 ISS f60 ssf60 ssf60 ssf60A heavy crate is suspended from two ropes as it is lowered from a high shelf to the floor at a constant speed. One of the ropes makes an angle of 28.2 degrees with respect to the vertical and has a tension of 950 N, while the other makes an angle of 33.7 with respect to the vertical. What is the crate's mass in kg?Two blocks connected by a rope of negligible mass are being dragged by a force at a 21° angle above horizontal (see figure below). Suppose F = 117.0 N, m, = 10.0 kg, m, = 26.0 kg, and the coefficient of kinetic friction between each block and the surface is 0.136. Use g=9.8 m/s?. T F (b) Determine the acceleration of the system. X m/s2 (c) Determine the tension T in the rope. X N
- You want to lift a heavy box with a mass L = 77.0 kg using the two ideal pulley system. With what minimum force do you have to pull down on the rope in order to lift the box at a constant velocity? One pulley is attached to the ceiling and one to the box.A 250 gram block on a 30 deg inclined plane is attached by an inextensible string going over a frictionless pulley to a 500 gram hanging weight. The static and kinetic friction coefficients are .25 and .123. While moving, what is the tension ii the connecting string? O 174530 dynes O 121000 dynes O 262400 dynes O 7430 dynes O 42930 dynesM = 2.2 kg, and the tension in the connecting string is 70 N. How long does it take the hanging mass to drop .5 m? Thecoefficient of kinetic friction between the top block and the incline is (μ = 0.13). Assume the pulley is frictionless
- An elevator has a mass of 200kg. An average person has of 40 kg. The elevator must accelerate upward at 3 m/s^2. If the elevator cable is capable of supporting 6500 N of tension before it breaks. What is the maximum number of people you could have on board?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 (u.-0.4), Neglect the friction between the string and the pulley. Determine the tension in the string. 10 kg 5.0 kg 37 65.35 N () 147.0 N 98.0 N 49.0 N O 52.3 NA heavy sled is being pulled by two people, as shown in the figure. The coefficient of static friction between the sled and the ground is µs = 0.603, and the kinetic friction coefficient is = 0.403. The combined mass of the sled and its load is m = 336 kg. The ropes are separated by an angle o = 25.0°, and they make an angle 0 = 31.1° with the horizontal. Assuming both ropes pull equally hard, what is the minimum rope tension required to get the sled moving? minimum rope tension: N If this rope tension is maintained after the sled starts moving, what is the sled's acceleration? acceleration: m/s2
- A mass is suspended from the ceiling in an elevator by a heavy rope. The mass is 80 kg and the mass of the rope is 2 kg. If the breaking strength of the rope is 1000 N, what is the maximum acceleration of the elevator such that the rope will not break?The rock is hanging from the middle of a clothesline. The rope is attached at equal heights 24 units apart and the entre point sags 1 unit below them. What is the tension if he has a mass of 20kg?A worker pulls a 15-kg crate in a straight line on a level surface by imparting a horizontal tension of 80 N to the free end of a cable whose other end is attached to the crate. If the coefficient of static friction is 0.40, what is the acceleration of the crate?