a) Two objects with masses M1 = 5kg and M2 = 8kg are connected by a light string that passes over a light frictionless pulley to form an Atwood machine. Determine (i) the acceleration of each object and (ii) tension in the string
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- An aluminum block of mass m1 = 2.00 kg and a copper block of mass m2 = 6.00 kg are connected by a light string over a frictionless pulley. They sit on a steel surface as shown in Figure P5.46, where = 30.0. (a) When they are released from rest, will they start to move? If they do, determine (b) their acceleration and (c) the tension in the string. If they do not move, determine (d) the sum of the magnitudes of the forces of friction acting on the blocks. Figure P5.46An object of mass m1= 5.0 kg placed on a frictionless, horizontal table is connected to a string thatpasses over a pulley and then is fastened to a hanging object of mass m2 = 9.0 kg as shown in theFigure. Find:(a) The magnitude of the acceleration of the objects and(b) The tension T in the string.A block of mass m2 = 3.5 kg rests on a frictionless horizontal shelf. and is connected by ropes to two blocks of masses m1 = 1.5 kg and m3 = 2.5 kg, which hang freely, as shown in the figure. The pulleys are frictionless and their mass is negligible. The system is initially kept at rest. When released, determine: a) the acceleration of each of the blocks, and b) the tension in each rope.
- three blocks of masses m1= 1.0 kg, m2= 2.0kg, and m3=3.0kg are on a frictionless plane and are connected by massless ropes a horizontal force F is applied to the right to obtain an acceleration of 1.5m/s^2 what is the magnitude of the net force of the blocksThree objects with masses m1 = 2.0kg, m2 = 4.0kg, and m3 = 6.0kg, respectively, are attached by strings over frictionless pulleys, as indicated in the figure. The coefficient of kinetic friction between m2 and the tabletop is 0.15. Assume that the system is released from rest. Determine tension T1, T2, and the acceleration a of the system.a box of ant aunts (totalmass m1 = 1.65 kg) and a box of ant uncles(total mass m2= 3.30 kg) slide down an inclined plane whileattached by a massless rod parallel to the plane. The angle of inclineis u = 30.0°. The coefficient of kinetic friction between theaunt box and the incline is m1 = 0.226; that between the uncle boxand the incline is m2= 0.113. Compute (a) the tension in the rodand (b) the magnitude of the common acceleration of the twoboxes. (c) How would the answers to (a) and (b) change if the unclestrailed the aunts?
- A 4.25 kg box is suspended from a system of massless wires attached to a ceiling. The first wire makes an angle of ?1=60.8∘ with the ceiling, whereas the second wire makes an angle of ?2=42.6∘ with the ceiling. Determine the magnitudes of tension in the first and second wires; T1 and T2 respectively.A block with mass m1 = 9.2 kg rests on the surface of a horizontal table which has a coefficient of kinetic friction of μk = 0.58. A second block with a mass m2 = 10.8 kg is connected to the first by an ideal string passing over an ideal pulley such that the second block is suspended vertically. The second block is released from rest, and motion occurs. Using the variable T to represent tension, write an expression for the sum of the forces in the y-direction, ΣFy, for block 2. Using the variable T to represent tension, write an expression for the sum of the forces in the x-direction, ΣFx for block 1. Block 1 accelerates along the tabletop, in the horizontal direction, while block 2 moves vertically. With the coordinate system provided in the drawing, we may write a⃗ 1=a1i^a→1=a1i^ and a⃗ 2=a2y^a→2=a2y^. Write an expression that relates the vertical component of the acceleration of block 2 to the horizontal component of the acceleration of block 1. Write an expression using the…A block with mass m1 = 9.2 kg rests on the surface of a horizontal table which has a coefficient of kinetic friction of μk = 0.58. A second block with a mass m2 = 10.8 kg is connected to the first by an ideal string passing over an ideal pulley such that the second block is suspended vertically. The second block is released from rest, and motion occurs. Using the variable T to represent tension, write an expression for the sum of the forces in the y-direction, ΣFy, for block 2. Using the variable T to represent tension, write an expression for the sum of the forces in the x-direction, ΣFx for block 1. Block 1 accelerates along the tabletop, in the horizontal direction, while block 2 moves vertically. With the coordinate system provided in the drawing, we may write a⃗ 1=a1i^a→1=a1i^ and a⃗ 2=a2y^a→2=a2y^. Write an expression that relates the vertical component of the acceleration of block 2 to the horizontal component of the acceleration of block 1. Write an expression using the…
- If the only forces acting on a 2.0kg mass are F1=(3i-8j)N and F2=(5i+3j)N, what is the magnitude of the acceleration of the particle?The three masses shown in the figure are in equilibrium and the inclined plane is frictionless.If θ = 30.7°, m2 = 2.00 kg, and m3 = 4.24 kg, determine the mass m1 and the magnitude of the tension T in the string connecting m2 and m3.In the figure, three connected blocks are pulled to the right on a horizontal frictionless table by a force of magnitude T3 = 44.4 N. If m1 = 18.7 kg, m2 = 23.0 kg, and m3 = 33.9 kg, calculate (a) the magnitude of the system's acceleration, (b)the tension T1, and (c) the tension T2.