A car is stuck in the mud. A tow truck pulls on the car with the arrangement shown in Fig. P4.32. The tow cable is under a tension of 2 500 N and pulls downward and to the left on the pin at its upper end. The light pin is held in equilibrium by forces exerted by the two bars A and B. Each bar is a strut; that is, each is a bar whose weight is small compared to the forces it exerts and which exerts forces only through hinge pins at its ends. Each strut exerts a force directed parallel to its length. Determine the force of tension or compression in each strut. Proceed as follows. Make a guess as to which way (pushing or pulling) each force acts on the top pin. Draw a free-body diagram of the pin. Use the condition for equilibrium of the pin to translate the free-body diagram into equations. From the equations calculate the forces exerted by struts A and B. If you obtain a positive answer, you correctly guessed the direction of the force. A negative answer means that the direction should be reversed, but the absolute value correctly gives the magnitude of the force. If a strut pulls on a pin, it is in tension. If it pushes, the strut is in compression. Identify whether each strut is in tension or in compression.

A sample of blood is placed in a centrifuge of radius 14.0 cm. The mass of a red blood cell is 3.0 ✕ 10−16 kg, and the magnitude of the force acting on it as it settles out of the plasma is 4.0 ✕ 10−11 N. At how many revolutions per second should the centrifuge be operated???????? rev/s

A ballon is being pushed upwards by the force of the hot air inside it. If the ballon has a mass of 250 kg, how much force is needed to accelerate it upwards at 0.3 m/s^2?

A reservoir tank that is filled of water has a hole with a diameter of 15 cm. The height of water is 85 cm and the distance of the hole from the ground is 40 cm. If the acceleration due to gravity is 9.81 m/s2, after 1 hour, how much water came out of the tank?       860.58 kg     835.65 kg     725.53 kg     787.2 kg

% - Difference between the magnitudes of the sum of the forces due to string 1 and 2 and the force due to string 3 = % String Number Mass Attached (kg) Force Exerted (N)  Direction (°) 1 .25 2.45 30° 2 .25 2.45 120° 3 .35 3.43 255°

A 5 kg box is being subjected to the following Forces: 5 N North 11 N West 17 N South 3 N East 14 N E30°N Solve for the (a) acceleration in unit vector form (b) magnitude and (c)direction.

Problem 2: A farmer is using a rope and pulley to lift a bucket of water from the bottom of a well that is h, = 14.5 m deep. The farmer uses a force F1= 49.5 N to pull the bucket of water directly upwards. The total mass of the bucket of water is m, + my = 3.5 kg.