Problem 5: Two blocks are stacked as shown to the right and rest on a frictionless surface. There is friction between the two blocks (coefficient of friction u). An external force is applied to the top block at an angle 0 to the horizontal. M2 What is the maximum force F that can be applied for the two blocks to move together? Give your answer in terms of the variables from the problem statement in addition to g for gravitational acceleration. Expression : F = Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(), cos(0), sin(a), sin(4), sin(0), y. µ, 0, d. g, m1, m2, n, q

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Newton's Laws and Uniform Circular Motion Q5. Please answer and explain step by step and reasoning.

Problem 5: Two blocks are stacked as shown to the right and rest on a frictionless surface.
There is friction between the two blocks (coefficient of friction µ). An external force is
applied to the top block at an angle 0 to the horizontal.
M.
M2
What is the maximum force F that can be applied for the two blocks to move together? Give your answer in terms of the variables from the
problem statement in addition to g for gravitational acceleration.
Expression :
F =
Select from the variables below to write your expression. Note that all variables may not be required.
cos(a), cos(o), cos(0), sin(a), sin(0), sin(0), y, µ, 0, d, g, m1, m2, n, q
Problem 6: Displayed to the right are two carts connected by a cord that passes over a small
frictionless pulley. Each cart rolls freely with negligible friction. Consider the mass of the cart to be
m, and the angle the first cart sits on to be 01, while the mass of the second cart as m, and the angle it
sits on to be 02.
mi
m2
01
Part (a) Considering the positive x direction to be pointing as it is in the image, write an equation for the acceleration that the two blocks
experience in terms of the mass of the first block m1, the angle 0,, the mass of the second block m,, the angle 0,, and the acceleration due to
gravity g.
Expression :
a =
Select from the variables below to write your expression. Note that all variables may not be required.
cos(a), cos(4), cos(01), cos(02), sin(a), sin(4), sin(01), sin(02), a, g, k, m¡, m2, n, q
Part (b) What is the equation for tension in regards to the rope coming from the second block? Answer in terms of the mass
the block m2, the
acceleration due to gravity g, the angle 02, and the acceleration of the blocks found previously a.
Expression :
T =
Select from the variables below to write your expression. Note that all variables may not be required.
cos(a), cos(4), cos(0,), cos(02), k, q, sin(æ), sin(4), sin(0,), sin(0,), a, g, m1, m2, n
Problem 7: Two blocks, which can be modeled as point masses, are connected by a
massless string which passes through a hole in a frictionless table. A tube extends out
of the hole in the table so that the portion of the string between the hole and M1
remains parallel to the top of the table. The blocks have masses M, = 1.4 kg and M, =
2.7 kg. Block 1 is a distance r = 0.85 m from the center of the frictionless surface.
Block 2 hangs vertically underneath.
M
1 of 1
M,
Transcribed Image Text:Problem 5: Two blocks are stacked as shown to the right and rest on a frictionless surface. There is friction between the two blocks (coefficient of friction µ). An external force is applied to the top block at an angle 0 to the horizontal. M. M2 What is the maximum force F that can be applied for the two blocks to move together? Give your answer in terms of the variables from the problem statement in addition to g for gravitational acceleration. Expression : F = Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(o), cos(0), sin(a), sin(0), sin(0), y, µ, 0, d, g, m1, m2, n, q Problem 6: Displayed to the right are two carts connected by a cord that passes over a small frictionless pulley. Each cart rolls freely with negligible friction. Consider the mass of the cart to be m, and the angle the first cart sits on to be 01, while the mass of the second cart as m, and the angle it sits on to be 02. mi m2 01 Part (a) Considering the positive x direction to be pointing as it is in the image, write an equation for the acceleration that the two blocks experience in terms of the mass of the first block m1, the angle 0,, the mass of the second block m,, the angle 0,, and the acceleration due to gravity g. Expression : a = Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(4), cos(01), cos(02), sin(a), sin(4), sin(01), sin(02), a, g, k, m¡, m2, n, q Part (b) What is the equation for tension in regards to the rope coming from the second block? Answer in terms of the mass the block m2, the acceleration due to gravity g, the angle 02, and the acceleration of the blocks found previously a. Expression : T = Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(4), cos(0,), cos(02), k, q, sin(æ), sin(4), sin(0,), sin(0,), a, g, m1, m2, n Problem 7: Two blocks, which can be modeled as point masses, are connected by a massless string which passes through a hole in a frictionless table. A tube extends out of the hole in the table so that the portion of the string between the hole and M1 remains parallel to the top of the table. The blocks have masses M, = 1.4 kg and M, = 2.7 kg. Block 1 is a distance r = 0.85 m from the center of the frictionless surface. Block 2 hangs vertically underneath. M 1 of 1 M,
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