m1 m2 An object of mass m¡= 4kg placed on a frictionless, horizontal table is connected to a string that passes over a pulley and then is fastened to a hangi object of mass m2= 6kg as shown in figure. Calculate, (a) the acceleration (a) of the objects (b) the tension (T) in the string.
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- Two blocks, each of mass m = 3.50 kg, are hung from the ceiling of an elevator as in Figure P4.33. (a) If the elevator moves with an upward acceleration a of magnitude 1.60 m/s2, find the tensions T1 and T2 in the upper and lower strings. (b) If the strings can withstand a maximum tension of 85.0 N, what maximum acceleration can the elevator have before a string breaks? Figure P4.33 Problems 33 and 34.Consider the three connected objects shown in Figure P5.43. Assume first that the inclined plane is frictionless and that the system is in equilibrium. In terms of m, g, and , find (a) the mass M and (b) the tensions T1 and T2. Now assume that the value of M is double the value found in part (a). Find (c) the acceleration of each object and (d) the tensions T1 and T2. Next, assume that the coefficient of static friction between m and 2m and the inclined plane is s and that the system is in equilibrium. Find (e) the maximum value of M and (f) the minimum value of M. (g) Compare the values of T2 when M has its minimum and maximum values. Figure P5.43An 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 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…A block with mass m1 = 8.6 kg rests on the surface of a horizontal table which has a coefficient of kinetic friction of μk = 0.74. A second block with a mass m2 = 10.2 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. 1. Using the variable T to represent tension, write an expression for the sum of the forces in the y-direction, ΣFy, for block 2. 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. 3. 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 a1=a1i and a2=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. 4. Write an expression using the variables…
- 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.In the figures, the masses are hung from an elevator ceiling. Assume the velocity of the elevator is constant. Find the tensions in the ropes (in N) for each case. Note that θ1 = 35.0°, θ2 = 55.0°, θ3 = 59.0°, m1 = 6.00 kg, and m2 = 11.0 kg.The mass of the block 1 is m1= 2.8 kg, while the mass of block 2 is m2= 7.5kg. The coefficient of kinetic friction between m1 and the inclined surface is 0.22, what is the acceleration of the system? What is the tension in the string?
- A ball of mass m1 = 4.0 kg and a block of mass m2 = 3.0 kg are attached by a lightweight cord that passes over a frictionless pulley of negligible mass. The block lies on an incline of angle 25o which has a coefficient of kinetic friction μk=0.20, while the ball hangs down over the pulley. As the block slides up the incline, find: a) the magnitude of the block’s acceleration b) the tension in the cordObjects of masses m1 = 4.00 kg and m2 = 9.00 kg are connected by a light string that passes over a frictionless pulley . The object m1 is held at rest on the floor, and m2 rests on a fixed incline of θ = 38.0°. The objects are released from rest, and m2 slides 1.20 m down the slope of the incline in 3.90 s. (a) Determine the acceleration of each object. (Enter the magnitude only.)m/s2(b) Determine the tension in the string. (Enter the magnitude only.)N(c) Determine the coefficient of kinetic friction between m2 and the incline.In the figure, block 1 of mass m1 = 1.9 kg and block 2 of mass m2 = 1.4 kg are connected by a string of negligible mass. Block 2 is pushed by force F→ of magnitude 23 N and angle θ = 33°. The coefficient of kinetic friction between each block and the horizontal surface is 0.16. What is the tension in the string?