College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- Problem 5: A block with mass m; = 9.8 kg rests on the surface of a horizontal table which has a coefficient of kinetic friction of ur = 0.65. 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. m, Using the variable T to represent tension, write an expression for the sum of the forces in the y-direction, EF, for block 2. Using the variable T to represent tension, write an expression for the sum of the forces in the x-direction, EF, 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 a1 = aj i and a2 = a2 ŷ. 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 variables…arrow_forwardThe figure shows two blocks connected by a lightweight string across a frictionless pulley. The hanging block has mass m1 = 6.00 kg and the second block has mass m2 = 3.50 kg. The ramp is frictionless and inclined at an angle of θ = 43.5° from the horizontal. When released from rest, block 1 will descend and block 2 will move up the ramp. (Assume the ramp is frictionless.) Determine the magnitude of each block's acceleration and the tension in the string.arrow_forwardA block with mass m₁ = 9.5 kg rests on the surface of a horizontal table which has a coefficient of kinetic friction of uk = 0.67. A second block with a mass m₂ = 9.1 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. Write an expression using the variables provided for the magnitude of the tension force, T. m₁ Ti y -Xarrow_forward
- The figure shows a system composed of two bodies, of masses mi and m2, connected through an ideal rope that passes through a pulley, also ideal. Both bodies are on two inclined planes, with the same angle of inclination 0, and coefficients of friction 1 and 2. If mi < m2, find the acceleration of the system. XX m₂arrow_forwardBlock A in the figure has mass ma = 4.30 kg, and block B has mass mg = 2.20 kg. The coefficient of kinetic friction between block B and the horizontal plane is Hk = 0.520. The inclined plane is frictionless and at angle 0 = 31.0°. The pulley serves only to change the direction of the cord connecting the blocks. The cord has negligible mass. Find (a) the tension in the cord and (b) the magnitude of the acceleration of the blocks. Frictionless, massless pulley (a) Number i Units (b) Number i Unitsarrow_forwardIn the figure, a body with a mass of 2 kg moves under the influence of two constant forces F1 = 5N and F2 = 4N in the xy plane. At time t = 0, the object is at point 0 and its speed is V = 2i + j (m / s). What is the acceleration of the particle and its position after 2 seconds in terms of the unit vector?arrow_forward
- Objects of masses m = 4.0kg and m 9.0 kg are 1 2 connected by a light string that passes over a frictionless pulley in the figure. The object m, is held at rest on the floor, and m rests on a fixed incline of 2 0 = 40.5°. The objects are released from rest, and m 2 slides 1.3m down the slope of the incline in 3.95s. (a) m Find the magnitude of the acceleration (in ) of either S 2 mass. (b) Find the coefficient of kinetic friction between m and the incline. 2arrow_forwardIn the figure, a block of mass m = 3.71 kg is pulled along a horizontal frictionless floor by a cord that exerts a force of magnitude F = 12.7 N at an angle 0 = 26.0°. (a) What is the magnitude of the block's acceleration? (b) The force magnitude F is slowly increased. What is its value just before the block is lifted (completely) off the floor? (c) What is the magnitude of the block's acceleration just before it is lifted (completely) off the floor? (a) Number i Units (b) Number i Units (c) Number i Units > >arrow_forwardHelparrow_forward
- In the figure, a block of mass m = 5.44 kg is pulled along a horizontal frictionless floor by a cord that exerts a force of magnitude F = 10.6 N at an angle 0 = 24.0°. (a) What is the magnitude of the block's acceleration? (b) The force magnitude F is slowly increased. What is its value just before the block is lifted (completely) off the floor? (c) What is the magnitude of the block's acceleration just before it is lifted (completely) off the floor? (a) Number Units (b) Number Units (c) Number Unitsarrow_forwardBlock A, with a mass of 10 kg, rests on a 35° incline. The coefficient of static friction is 0.40. An attached string is parallel to the incline and passes over a massless, frictionless pulley at the top. The largest mass of block B, attached to the dangling end, for which A remains at rest is: Barrow_forwardA 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…arrow_forward
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