Three blocks are stacked on the floor. From the bottom of the stack to the top, their masses are m1, m2, and m3, respectively, as shown on the diagram. When referring to the various forces, the subscripts i=1,2,3 of the blocks will be used, and ff will be used to indicate the floor. Weights, if required, will be denoted with the corresponding subscript of the block as Fg,i, for i=1,2,3. The normal force exerted by object a on object b, if required, will be denoted as Fn,a→b for i=1,2,3, f, but a≠b. The force of kinetic friction exerted by object a on object b, if required, will be denoted as Fk,a→b�→�,�→� for i=1,2,3,f�=1,2,3,f, but a≠b�≠�. The force of static friction exerted by object a� on object b�, if required, will be denoted as F⃗ s,a→b for i=1,2,3,f, but a≠b. The floor mentioned in the problem statement is the floor of an elevator. When the elevator accelerates, all of the blocks have a common acceleration in the vertical direction. Form an expression for the net force on the top-most block to complete the expression of Newton's Second Law with the upward direction being taken as the positive y� direction.
Three blocks are stacked on the floor. From the bottom of the stack to the top, their masses are m1, m2, and m3, respectively, as shown on the diagram. When referring to the various forces, the subscripts i=1,2,3 of the blocks will be used, and ff will be used to indicate the floor. Weights, if required, will be denoted with the corresponding subscript of the block as Fg,i, for i=1,2,3. The normal force exerted by object a on object b, if required, will be denoted as Fn,a→b for i=1,2,3, f, but a≠b. The force of kinetic friction exerted by object a on object b, if required, will be denoted as Fk,a→b�→�,�→� for i=1,2,3,f�=1,2,3,f, but a≠b�≠�. The force of static friction exerted by object a� on object b�, if required, will be denoted as F⃗ s,a→b for i=1,2,3,f, but a≠b. The floor mentioned in the problem statement is the floor of an elevator. When the elevator accelerates, all of the blocks have a common acceleration in the vertical direction. Form an expression for the net force on the top-most block to complete the expression of Newton's Second Law with the upward direction being taken as the positive y� direction.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Three blocks are stacked on the floor. From the bottom of the stack to the top, their masses are m1, m2, and m3, respectively, as shown on the diagram. When referring to the various forces, the subscripts i=1,2,3 of the blocks will be used, and ff will be used to indicate the floor.
- Weights, if required, will be denoted with the corresponding subscript of the block as Fg,i, for i=1,2,3.
- The normal force exerted by object a on object b, if required, will be denoted as Fn,a→b for i=1,2,3, f, but a≠b.
- The force of kinetic friction exerted by object a on object b, if required, will be denoted as Fk,a→b�→�,�→� for i=1,2,3,f�=1,2,3,f, but a≠b�≠�.
- The
force of static friction exerted by object a� on object b�, if required, will be denoted as F⃗ s,a→b for i=1,2,3,f, but a≠b.
The floor mentioned in the problem statement is the floor of an elevator. When the elevator accelerates, all of the blocks have a common acceleration in the vertical direction. Form an expression for the net force on the top-most block to complete the expression of Newton's Second Law with the upward direction being taken as the positive y� direction.
Transcribed Image Text:The image shows a diagram of three blocks stacked vertically on a surface. Each block is labeled with different mass variables:
1. The top block is labeled \( m_3 \) and is colored blue.
2. The middle block is labeled \( m_2 \) and is colored green.
3. The bottom block is labeled \( m_1 \) and is colored orange.
The blocks are positioned one above the other, and the entire stack is placed on a brown horizontal surface. This type of diagram is often used in physics to represent problems involving stacked objects and concepts such as gravitational force, normal force, and balance.
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