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.
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 provided for the magnitude of the tension force, T.
5. What is the tension, T, in newtons?
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
