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 Question

*16–20. A motor gives gear A an angular acceleration of a4 = (4f) rad/s?, where t is in seconds. If this gear is initially turning at (@)o = 20 rad/s, determine the angular velocity of gear B when t = 2 s. (@a)o = 20 rad/s 0.05 m 0.15 m

Image Transcription

*16–20. A motor gives gear A an angular acceleration of a4 = (4f) rad/s?, where t is in seconds. If this gear is initially turning at (@)o = 20 rad/s, determine the angular velocity of gear B when t = 2 s. (@a)o = 20 rad/s 0.05 m 0.15 m

Answer
Step 1

Given data

Mechanical Engineering homework question answer, step 1, image 1

Step 2

The angular velocity of the gear is given by

Mechanical Engineering homework question answer, step 2, image 1

Now, integrating

Mechanical Engineering homework question answer, step 2, image 2

By solving the above integration

Mechanical Engineering homework question answer, step 2, image 3

At t = 2 sec

Mechanical Engineering homework question answer, step 2, image 4

Step 3

The Gear A and Gear B are meshed together. Therefore,

Mechanical Engineering homework question answer, step 3, image 1

By solving the above equation

The angular velocity of gear B is

Mechanical Engineering homework question answer, step 3, image 2

 

 

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QUESTION 6 (a) The bar shown in Figure Q2(a) is subjected to tensile load of 150 Kn. If the stress in the middle portions is limited to 160 N/mm², determine the diameter of the middle portion. Find also the length of the middle portion if the total elongation of the bar is to be 0.25 mm. E E = 2.0 + 105N/mm². (12 marks) 150 KN 10 cm DIA 10 cm DIA 150 KN 45 cm Figure Q6(a) (b) A brass bar, having cross-section area of 900 mm², is subjected to axial forces as shown in Figure Q2(b), in which AB = 0.6 m, BC = 0.8 m, and CD = 1.0 m. Find the total elongation of the bar. E = 1.0 + 105N/mm2 . (8 marks) Page 4 of 5 B D 40 KN 70 KN 20 KN 10 KN Figure Q6(b) (TOTAL = 20 MARKS)

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