Three identical blocks connected by ideal strings are being pulled along a horizontal frictionless surface by a horizontal force F⃗ . (Figure 1) The magnitude of the tension in the string between blocks B and C is T = 3.00 N . Assume that each block has mass m = 0.400 kg .
What is the magnitude F of the force?
What is the tension TAB in the string between block A and block B?
The concept used to solve this problem is Newton’s second law of motion.
The tension in each rope can be calculated by drawing a free body diagram of the system with all the forces acting on the system.
The whole system consists of three blocks and they are connected by two ropes and are being pulled by another rope. The free body diagram must be made separately for every block.
The tension in each rope can be calculated by balancing all the forces acting on each block during the motion.
The force acting on the block can be calculated by finding the tensions in every rope.
The Newton’s first law of motion states that when a particle is at rest or in uniform motion, the net force (sum of all the forces) acting on it must be zero.
A particle is not said to be in equilibrium when it is accelerating under the influence of an external force. The net force ( ) acting on the particle in this case is not equal to zero but is equal to the product of its mass (m) and the acceleration ( ).
(a)
The figure 1 represents a free-body diagram of a system of three blocks which are connected by two different ropes. The system of three blocks moves with a constant acceleration under the influence of force . The blocks are connected by two different ropes.
Refer figure 1 and balance the forces acting on block C.
Refer figure 1 and balance all the forces acting on block B.
Refer figure 1 and balance all the forces acting on block A.
Add all the above equations.
Write the balanced equation of forces acting on block A.
Write the balanced equation of forces acting on block B.
Substitute ma for in the above equation.
Substitute 3.00 N for in the above equation.
The tension in the rope between wire A and B is as follows:
Substitute 1.50 N for ma in the above equation.
(b)
Determine the force acting on the system.
Refer figure 1 and balance the forces acting on block C.
Substitute 3.00 N for and 1.50 N for ma in the above equation.
Ans: Part a
The tension in the rope between A and B is 1.50 N.
Three identical blocks connected by ideal strings are being pulled along a horizontal frictionless surface by a horizontal force F→
In the figure, three connected blocks are pulled to the right on a horizontal frictionless table by a force of magnitude T3 = 64.4 N. If m - 11.4 kg. m2 = 23.1 kg, and m3 = 32.7 kg, calculate (a) the magnitude of the system's acceleration, (b) the tension T, and (c) the tension T2 T: 73 (a) Number i Units (b) Number Units (c) Number Units
Problem# 9: Two blocks are connected by a string that goes over an ideal pulley as shown in the figure. Block A has a mass of 3.00 kg and can slide over a rough plane inclined 30.0° to the horizontal. The coefficient of kinetic friction between block A and the plane is 0.400. Block B has a mass of 2.77 kg. (a)Draw the free body diagram (b)What is the reaction of the surface on block A? (c)What is the friction force? (d)What is the acceleration...
Three blocks are on a frictionless horizontal surface. The bocks are connected by massless strings with tensions T, and Tr. 3 kg 5 kg 1 kg 45 N 18 N Calculate the tension T, Answer in units of N.
Two blocks P (9 kg) and Q (2 kg) connected by a light string are being pulled along a horizontal frictionless surface by a horizontal force F=78 N. What is tension force along the string? N.
The blocks below are being pulled to the right on a frictionless surface by a force T3 = 80 N. The masses of the blocks are m1 = 5.0 kg, m2 = 7.0 kg and m3 = 12 kg. a) Calculate the acceleration of the blocks. b) Calculate each of the tension forces.
Two blocks that are both 7 kg are connected by a string that massless and frictionless. The are both being pulled by a pulley over the edge of a table. A. If force is directed to the right and has magnitude 90 N, find the acceleration of the two blocks. B. For the same direction of F and magnitude, find the tension in the string. C. Now a different force, still horizontal, is applied to block A, making the tension...
Three blocks are on a frictionless horizontal surface. The bocks are connected by massless strings with tensions Tℓ and Tr. Calculate the tension Tr. Answer in units of N. The wrong answers I chose: 59.8, 60, -60, 59.76, 52.17, 9.83. Please help I am desperate (I can't find the correct solution anywhere). 9:25i a quest.cns.utexas.edu 3 of 19 3: Two Tensions 02 - 10.0 pts possible Question Three blocks are on a frictionless horizontal surface. The bocks are connected by...
A block of mass m1 = 36 kg on a horizontal surface is connected to a mass m2 = 17.1 kg that hangs vertically as shown in the figure below. The two blocks are connected by a string of negligible mass passing over a frictionless pulley. The coefficient of kinetic friction between m1 and the horizontal surface is 0.25. (a) What is the magnitude of the acceleration (in m/s2) of the hanging mass? ____ m/s2 (b) Determine the magnitude of...
A 50.0-kg crate is being pulled along a horizontal, smooth surface The pulling force is 10.0 N and is directed 20.0" above the horizontal What is the acceleration of the crate? An object of mass 25 kg, attached to an ideal massless spring, is pulled across a frictionless surface. If the spring constant is 100 N/m and the spring is stretched by 0.5 m, calculate the acceleration of the object when released.
I will rate 1. Two blocks connected by a string are pulled across frictionless surface by a force applied to one of the blocks, as shown below. If each block has an acceleration of 2.0 m/s? to the right, what is the magnitude of F of the applied force? Make sure to include a force-diagram in your solution. (6 pts) 60 di alaoliu aia sw noltel oh sbeluni otla 3.0 kg 10 kg iemmu noM