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. y mi m2 X 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 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, 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(0,), cos(0,), k, q, sin(a), sin(4), sin(0,), sin(0,), a, g, m1, m2, n

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Newton's Laws and Uniform Circular Motion Q6. Please answer and explain step by step and reasoning.

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 mɔ and the angle it
sits on to be 0,.
mi
m2
X
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 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(4), 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(0,), cos(02), k, q, sin(œ), sin(4), sin(01), sin(02), a, g, m¡, m2, n
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 mɔ and the angle it sits on to be 0,. mi m2 X 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 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(4), 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(0,), cos(02), k, q, sin(œ), sin(4), sin(01), sin(02), a, g, m¡, m2, n
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