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Problem 7: A small block of mass M = 450 g is placed on top of a larger block of mass 3M which is placed on a level frictionless surface and is attached to a horizontal spring of spring constant k = 2.8 N/m. The coefficient of static friction between the blocks is u = 0.2. The lower block is pulled until the attached spring is stretched a distance D = 4.5 cm and released. Randomized Variables M = 450 g D = 4.5 cm k = 2.8 N/m Part (a) Assuming the blocks are stuck together, what is the maximum magnitude of acceleration amar of the blocks in terms of the variables in the problem statement? Expression : amax = Select from the variables below to write your expression. Note that all variables may not be required. a, ß, pu, 0, a, c, D, g, h, j, k, M, n, P, t Part (b) Calculate a value for the magnitude of the maximum acceleration amar of the blocks in m/s?. Numeric : A numeric value is expected and not an expression. amax = Part (c) Write an equation for the largest spring constant kmax for which the upper block does not slip. Expression : kmax = Select from the variables below to write your expression. Note that all variables may not be required. a, B, u, 0, a, c, D. g, h, j, k, M, n, P, t Part (d) Calculate a value for the largest spring constant kmax for which the upper block does not slip, in N/m. Numeric : A numeric value is expected and not an expression. kmax =

Problem 7: A small block of mass M = 450 g is placed on top of a larger block of mass 3M which is placed on a level frictionless surface and is attached to a horizontal spring of spring constant k = 2.8 N/m. The coefficient of static friction between the blocks is u = 0.2. The lower block is pulled until the attached spring is stretched a distance D = 4.5 cm and released. Randomized Variables M = 450 g D = 4.5 cm k = 2.8 N/m Part (a) Assuming the blocks are stuck together, what is the maximum magnitude of acceleration amar of the blocks in terms of the variables in the problem statement? Expression : amax = Select from the variables below to write your expression. Note that all variables may not be required. a, ß, pu, 0, a, c, D, g, h, j, k, M, n, P, t Part (b) Calculate a value for the magnitude of the maximum acceleration amar of the blocks in m/s?. Numeric : A numeric value is expected and not an expression. amax = Part (c) Write an equation for the largest spring constant kmax for which the upper block does not slip. Expression : kmax = Select from the variables below to write your expression. Note that all variables may not be required. a, B, u, 0, a, c, D. g, h, j, k, M, n, P, t Part (d) Calculate a value for the largest spring constant kmax for which the upper block does not slip, in N/m. Numeric : A numeric value is expected and not an expression. kmax =

Classical Dynamics of Particles and Systems
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter4: Nonlinear Oscillations And Chaos
Section: Chapter Questions
Problem 4.23P
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Please answer question 7

Problem 7: A small block of mass M = 450 g is placed on top of a larger block of mass 3M which is placed on a level frictionless surface and is attached to a horizontal spring of spring constant k = 2.8 N/m. The coefficient of static friction between the blocks is u = 0.2. The lower block is pulled until the attached spring is stretched a distance D = 4.5 cm and released. Randomized Variables M = 450 g D = 4.5 cm k = 2.8 N/m Part (a) Assuming the blocks are stuck together, what is the maximum magnitude of acceleration amar of the blocks in terms of the variables in the problem statement? Expression : Amax = Select from the variables below to write your expression. Note that all variables may not be required. a, ß, µ, 0, a, c, D, g, h, j, k, M, n, P, t Part (b) Calculate a value for the magnitude of the maximum acceleration amar of the blocks in m/s2. Numeric : Anumeric value is expected and not an expression. amax = Part (c) Write an equation for the largest spring constant kmax for which the upper block does not slip. Expression : kmax = Select from the variables below to write your expression. Note that all variables may not be required. a., B, µ, 0, a, c, D, g, h, j, k, M, n, P, t Part (d) Calculate a value for the largest spring constant kmax for which the upper block does not slip, in N/m. Numeric : A numeric value is expected and not an expression. kmax тах
Transcribed Image Text:Problem 7: A small block of mass M = 450 g is placed on top of a larger block of mass 3M which is placed on a level frictionless surface and is attached to a horizontal spring of spring constant k = 2.8 N/m. The coefficient of static friction between the blocks is u = 0.2. The lower block is pulled until the attached spring is stretched a distance D = 4.5 cm and released. Randomized Variables M = 450 g D = 4.5 cm k = 2.8 N/m Part (a) Assuming the blocks are stuck together, what is the maximum magnitude of acceleration amar of the blocks in terms of the variables in the problem statement? Expression : Amax = Select from the variables below to write your expression. Note that all variables may not be required. a, ß, µ, 0, a, c, D, g, h, j, k, M, n, P, t Part (b) Calculate a value for the magnitude of the maximum acceleration amar of the blocks in m/s2. Numeric : Anumeric value is expected and not an expression. amax = Part (c) Write an equation for the largest spring constant kmax for which the upper block does not slip. Expression : kmax = Select from the variables below to write your expression. Note that all variables may not be required. a., B, µ, 0, a, c, D, g, h, j, k, M, n, P, t Part (d) Calculate a value for the largest spring constant kmax for which the upper block does not slip, in N/m. Numeric : A numeric value is expected and not an expression. kmax тах
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