A bag of cement with a mass of 100kg hangs in equilibrium from three wires as shown in the figure . Two of the wires make angles θ1=40 and θ2=30 with the horizontal. Assuming the system is in equilibrium

The screw is subjected to two forces F1 and F2.Determine:a. the magnitude b. direction of the resultant force

2. A bag of cement of Mass 45 kg hangs from three wires as shown in figure. Two of the wires make angles 01=60° and 02=30° with the horizontal. If the system is in equilibrium, find the tensions T1, T2 in the wires. CEMENT

Fnet = ma, x = xo + Voxt += axt², Vx = Vox + axt, (v₂)² = (vox)² + 2axAx, g = 9.8 m/sec² Problem 1: The three ropes in the Figure are tied to a small, very light ring. Two of the ropes are anchored to walls at right angles, and the third rope pulls as shown. a) What is T₁, the tension from Rope 1 for the Figure below on the left? Answer: 86.6 N b) What is T₂, the tension from Rope 2 for the Figure below on the left? Answer: 50.0 N c) What is T3x, the x-component of the tension from Rope 3 for the Figure below on the right? Answer: 50 N. d) What is T3y, the y-component of the tension from Rope 3 for the Figure below on the right? Answer: 80 N. e) What is T3, the tension from Rope 3 for the Figure below on the right? Answer: T3 = √(T3x)² + (T3y)² = 94.3 N Rope 1 Rope 2 √30° 100 N 0.60 m 0.80 m T₁ = 50 N T₂ = 80 N T₁ w 34

You hang a light in front of your house using an elaborate system to keep the 12-kg object in static equilibrium (Figure 1). What are the magnitudes of the forces that the ropes must exert on the knot connecting the three ropes if θ2 = 63∘ and θ3 = 45∘?

The following setup of masses is hung (l) to a fixed ceiling as shown in the figure below. If M, = 10 kg and M2 = 30 kg and the system is under static equilibrium. The tension T, is equal to: A. 10 N T1 В. 20 N C. 30 N D. 196 N E. 294 N M1 T2 M2

C. Problem Solving. 1. A block of copper with mass 15 kg is sitting on an incline that has an angle of 25° above horizontal. What is the normal force on the block of copper? 2. A block with a mass of m = 1.5 kg, being pushed across a horizontal glass surface, µx = 0.4. What is the value of the kinetic friction, Fx ? 3. A 75 kg block is pulled along the floor with a horizontal force of 100 N at a constant velocity. What is the coefficient of sliding friction between the block and the floor? 4. An 81-kg basketball player slides into the second base. The coefficient of kinetic friction between the player and the ground is 0.49. What is the magnitude of the frictional force?

Two tension ropes are connected to a wall and subject to forces as shown by the diagram below. Determine if the system is in equilibrium. If not, find the magnitude of the unbalanced force. a. The system is in equilibrium b. Not in equilibrium, magnitude of resultant force = 75N c. Not in equilibrium, magnitude of resultant force=10N d. Not in equilibrium, magnitude of resultant force = 25N

There is a 31.5 kg box sitting on the shelf. 1 lb=4.448 N a) What is the box's weight in N? b) What is the box's mass in the US (English) system?

1. A 160kg utility pole extends 12.0m above the ground. A horizontal force of 250N acts at its top and the pole is held in the vertical position by a cable. a. Draw a free-body (or force) diagram for the pole. b. Determine the tension in the cable. c. What are the reaction forces exerted at the lower end of the pole by the ground?   2. A 40.0kg uniform platform is suspended by two cables, 2.00m apart, where the centre of the platform lies midway between the cables. A 5.00kg paint bucket is placed on the platform, 24.0cm to the right of the right cable. Determine the tension in each cable.