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 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 02, 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(o), sin(01), sin(02), a, g, k, 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 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 02, 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(o), sin(01), sin(02), a, g, k, m1, m2, n, q
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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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Please answer question 6
Transcribed Image Text: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
02
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 m, the angle 01, 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(o), cos(01), cos(02), sin(a), sin(4), sin(01), sin(02), a, g, k, m1, 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 of 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(01), cos(02), k, q, sin(a.), sin(4), sin(01), sin(02), a, g, m1, m2, n
Expert Solution
Step 1
Newton's second law of motion states that the acceleration of an object is directly proportional to the net external force acting on the object.
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