Problem 1: A block having a mass of m = 16 kg is suspended via two cables as shown in the figure. The angles shown in the figure are as follows: a = 15° and B = 33°. We will label the tension in Cable 1 as T and the tension in Cable 2 as T,. Cable 1 Cable 2. y m Part (a) From the images below, choose the correct free body diagram. SchematicChoice : Tiy T T12 a+B'a+B/ TI T2x mg mg mg T2 Ti T: mg mg mg Part (b) Write an expression for the sum of forces in the x direction in terms of T, T2, m, g, a, and ß. Use the specified coordinate system. Expression : EF = Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(B), sin(a), sin(B), tan(a), tan(ß), d, g, h, m, r, s, t, T1, T2 Part (c) Write an expression for the sum of forces in the y direction in terms of T1, T2, m, g, a, and B. Use the specified coordinate system. Expression : EFy= Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(B), sin(a), sin(B), tan(a), tan(B), d, g, h, m, r, s, t, T1, T2 Part (d) Solve for the numeric value of T1, in newtons. Numeric Anumeric value is expected and not an expression.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter4: The Laws Of Motion
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4.1 please answer parts b-e

Problem 1: A block having a mass of m = 16 kg is suspended via two cables as shown
in the figure. The angles shown in the figure are as follows: a = 15° and B = 33°. We
will label the tension in Cable 1 as T, and the tension in Cable 2 as T,.
Cable 1
Cable 2 →
Part (a) From the images below, choose the correct free body diagram.
SchematicChoice :
Tiy
T2
a+B'a+B
T1,2
T2x
mg
mg
mg
T2
Ti
T2
T2
Ti
a
mg
mg
mg
Part (b) Write an expression for the sum of forces in the x direction in terms of T1, T2, m, g, a, and B. Use the specified coordinate system.
Expression :
EF, =
Select from the variables below to write your expression. Note that all variables may not be required.
cos(a), cos(B), sin(a), sin(ß), tan(a), tan(ß), d, g, h, m, r, s, t, T1, T2
Part (c) Write an expression for the sum of forces in the y direction in terms of T1, T2, m, g, a, and B. Use the specified coordinate system.
Expression :
EFy =
Select from the variables below to write your expression. Note that all variables may not be required.
cos(a), cos(B), sin(a), sin(B), tan(a), tan(ß), d, g, h, m, r, s, t, T1, T2
Part (d) Solve for the numeric value of T, in newtons.
Numeric : A numeric value is expected and not an expression.
T1=.
Part (e) Solve for the numeric value of T,, in newtons.
Numeric : A numeric value is expected and not an expression.
T2 =.
Transcribed Image Text:Problem 1: A block having a mass of m = 16 kg is suspended via two cables as shown in the figure. The angles shown in the figure are as follows: a = 15° and B = 33°. We will label the tension in Cable 1 as T, and the tension in Cable 2 as T,. Cable 1 Cable 2 → Part (a) From the images below, choose the correct free body diagram. SchematicChoice : Tiy T2 a+B'a+B T1,2 T2x mg mg mg T2 Ti T2 T2 Ti a mg mg mg Part (b) Write an expression for the sum of forces in the x direction in terms of T1, T2, m, g, a, and B. Use the specified coordinate system. Expression : EF, = Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(B), sin(a), sin(ß), tan(a), tan(ß), d, g, h, m, r, s, t, T1, T2 Part (c) Write an expression for the sum of forces in the y direction in terms of T1, T2, m, g, a, and B. Use the specified coordinate system. Expression : EFy = Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(B), sin(a), sin(B), tan(a), tan(ß), d, g, h, m, r, s, t, T1, T2 Part (d) Solve for the numeric value of T, in newtons. Numeric : A numeric value is expected and not an expression. T1=. Part (e) Solve for the numeric value of T,, in newtons. Numeric : A numeric value is expected and not an expression. T2 =.
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