Purchase Solution

# Deriving Expression for Block Configuration

Not what you're looking for?

See attached file.

Three blocks are configured as in the attachment. A string is attached from block #1 to block #2 (looped over a pulley), and the angle between the string going from mass #2 to the pulley, with respect to straight downward, is &#952; (block #2 is hanging there, not touching block #3). An external force F is pushing on block #3.

(a) Derive an expression for F such that &#952; does not change with time and block #1 does not move with respect to block #3 (in other words, the whole configuration remains the same as it accelerates to the right). Ignore friction throughout the problem.

(b) Is it possible for this configuration to remain if M2>M1? Explain your reasoning.

(c) Now suppose there is a friction between block #1 and block #2, given by F(f)=&#956;(s)M(1)g. Rederive an expression for F.

##### Solution Summary

The problem shows all the workings to arrive at the solutions.

##### Solution Preview

See attached file.

For three blocks together:
F = (m1+M2+M3)*a ..............(1)
where a is the acceleration to be calculated so that system acts as a single entity.
See free body diagram in attached jpg file.
For M1 block, along the horizontal direction:
T = M1*a ........(2)
For M2 block, in vertical direction:
T*cos(Q) = M2*g .............(3)
and in horizontal direction:
T*sin(Q) = M2*a ......(4)
From eqn(2) substitute the ...

Solution provided by:
###### Education
• MSc , Pune University, India
• PhD (IP), Pune University, India
###### Recent Feedback
• " In question 2, you incorrectly add in the \$3.00 dividend that was just paid to determine the value of the stock price using the dividend discount model. In question 4 response, it should have also been recognized that dividend discount models are not useful if any of the parameters used in the model are inaccurate. "
• "feedback: fail to recognize the operating cash flow will not begin until the end of year 3."
• "Great thanks"
• "Perfect solution..thank you"

##### Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

##### The Moon

Test your knowledge of moon phases and movement.

##### Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

##### Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.