8. A mass m₁ = 9.00 kg is connected by a light string that passes over a pulley of mass M = 14.0 kg to a mass m₂ = 12.5 kg sliding on a horizontal frictionless surface (see figure). There is no slippage between the string and the pulley. What is the magnitude of the tension that is acting on mass m₂? (The moment of inertia of the pulley is 1/2Mr².) N m₂ M m₁

1.0m 3.0m 0.5m mi m, PA N, 5. The drawing above shows two objects on a board supported at two locations. The m; = 40 kg (centered over P), m2=20 kg and m3=10 kg. a. Show the forces acting on the board below with arrows with labels beginning at their approximate point of application (see example for the force exerted by m;). (Don't forget the gravitational forces acting on the board.) P F1

a 4kg block is attached to the vertical pole by two strings. when the system rotates about the axis of the pole the two strings are extended as shown in the diagram, the tension in the upper string is 88N. find the tension in the lower string, the rev/min the system makes normally and when the lower cord just goes slack.

The figure below shows two blocks connected by a string of negligible mass passing over a frictionless pulley. m₁ = 4.8 kg and 8 = 12.0°. Assume that the incline is smooth. m, m₁ For what value of m₂ (in kg) will the system be in equilibrium? m₂ 23.1 kg = If the block has to slide down the incline with an acceleration of 1.1 m/s², what should be the value of m₂ (in kg)? m₂ kg

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)?

In the Atwood machine shown below, ml = 2.00-kg and m2 = 5.60-kg. The masses of the pulley and string are negligible by comparison. The pulley turns without friction and the string does not stretch. The lighter object is released with a sharp push that sets it into motion at vi = 2.15 m/s downward. How long will it take for mị to reach the lowest level? m1 m2

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.

In the figure shown below, the 4 forces are being supported by an eyebolt. Determine the force F2 (in kN, roundoff to 2 decimal places) that would produce a net effect on the bolt of R direct pull along the horizontal. F1=2KN R=3KN F3=1.2kN a=30° F4=1.8KN B=30° F1 y -F2 F3 F4 α В Ꮎ

Objects of masses  m1 = 4.00 kg  and  m2 = 9.00 kg  are connected by a light string that passes over a frictionless pulley as in the figure below. The object  m1  is held at rest on the floor, and  m2  rests on a fixed incline of  θ = 39.5°.  The objects are released from rest, and  m2  slides 1.25 m down the slope of the incline in 3.85 s. A triangular structure is oriented such that its base rests upon a horizontal surface, its left side is perpendicular to its base, and its right side forms an incline of angle θ. A pulley is attached to the structure's apex. Two objects are connected by a cord that passes over the pulley. An object labeled m1 is attached to the left end of the cord and hangs such that it is very close to the horizontal surface. A rectangular object labeled m2 is attached to the end of the cord and rests upon the incline. A pale image of m1 is above m1, and a pale image of m2 is farther down the incline than m2. (a) Determine the acceleration of each object. (Enter…

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