1. Two blocks are connected by a massless rope as shown below. The mass of the block on the table is m, and the hanging mass is m₂. The table and the pulley are frictionless. a₁ m₁ m₂ 2₂ k Subpart 1: Draw FBDs In your notebook, draw free body diagrams for m, and m₂ using the template as shown below. The forces acting on the system are weights of the blocks m. and ma the tension in the string Tand

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B.
Subpart 3: SOLVE FOR ACCELERATION & TENSION SYMBOLICALLY
Use the results of Subpart 2 and mathematical manipulations to answer the following.
(i) Solve for the acceleration of the blocks in terms of m₁, m₂, & g,
a =
G
(ii) Solve for tension in the strings in terms of m₁, m₂, & g.
T=
T
m2. g
m1+m2
m1.m1
m1+m2
Cross-Check: If m, is zero, what should the acceration of m₂ be? Does your answer support that?
B
Subpart 4: CALCULATE NUMERICAL VALUES
The mass of the block on the table is 4 kg and the hanging mass is 1.2 kg.
(i) Calculate the magnitude of the acceleration of m.
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Transcribed Image Text:% 5 B. Subpart 3: SOLVE FOR ACCELERATION & TENSION SYMBOLICALLY Use the results of Subpart 2 and mathematical manipulations to answer the following. (i) Solve for the acceleration of the blocks in terms of m₁, m₂, & g, a = G (ii) Solve for tension in the strings in terms of m₁, m₂, & g. T= T m2. g m1+m2 m1.m1 m1+m2 Cross-Check: If m, is zero, what should the acceration of m₂ be? Does your answer support that? B Subpart 4: CALCULATE NUMERICAL VALUES The mass of the block on the table is 4 kg and the hanging mass is 1.2 kg. (i) Calculate the magnitude of the acceleration of m. E 6 Y H & 7 N U * J 00 8 M K O L 20 P Rain... ^4¹) 9/27/2 { + [ ? = insert 1 } ← 1 prt so backs pause
POI
%
1. Two blocks are connected by a massless rope as shown below. The mass of the block on the table is
m, and the hanging mass is m₂. The table and the pulley are frictionless.
O
5
T
G
B
6
Y
H
Subpart 1: Draw FBDs
In your notebook, draw free body diagrams for m, and m₂ using the template as shown below. The
forces acting on the system are weights of the blocks, m₁g, and m₂g, the tension in the string T and
the normal reaction N₁ of the table on m₁.
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Transcribed Image Text:POI % 1. Two blocks are connected by a massless rope as shown below. The mass of the block on the table is m, and the hanging mass is m₂. The table and the pulley are frictionless. O 5 T G B 6 Y H Subpart 1: Draw FBDs In your notebook, draw free body diagrams for m, and m₂ using the template as shown below. The forces acting on the system are weights of the blocks, m₁g, and m₂g, the tension in the string T and the normal reaction N₁ of the table on m₁. H & N -- 7 U J fe * W 4+ m₁ 8 M ( K 9 fio 10 11 O > m₂ f11 P : ; 22 Rain... 12 { + [ 4 ? = insert 4:46 PM 9/27/2022 1 prt sc ← backspace pause F
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