Question 1 a) Figure Q1a shows a bracket that can roll and move horizontally along a beam. A 1600 N force at 15° relative to the horizontal axis acts at A. Determine the force P at 25° relative to vertical axis necessary to keep the bracket static; (i) (ii) Calculate the downward resultant force acting vertically at A. Assume coplanar forces.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Question 1
a) Figure Q1a shows a bracket that can roll and move horizontally along a beam. A
1600 N force at 15° relative to the horizontal axis acts at A.
Determine the force P at 25° relative to vertical axis necessary to keep the
bracket static;
(i)
(ii)
Calculate the downward resultant force acting vertically at A.
Assume coplanar forces.
150
1600 N
250 P
Figure Q1a
b) If a pipe with an inner diameter of 36 mm is subjected to an axial load of
5.20 x 105 N and the maximum allowable stress in the pipe is 7.5 x 10º N/m²,
calculate the minimum wall thickness required for the pipe. Give your answer in
millimetres (mm) to 2 decimal places.
c) A wire with a Young's Modulus, E, of 8.5 x 106 N/m² and an original length of 1.5 m
is under tension. If the wire length extension is 2.5 mm, calculate the stress in the
wire. Give your answer in N/m² to 2 decimal places.
Transcribed Image Text:Question 1 a) Figure Q1a shows a bracket that can roll and move horizontally along a beam. A 1600 N force at 15° relative to the horizontal axis acts at A. Determine the force P at 25° relative to vertical axis necessary to keep the bracket static; (i) (ii) Calculate the downward resultant force acting vertically at A. Assume coplanar forces. 150 1600 N 250 P Figure Q1a b) If a pipe with an inner diameter of 36 mm is subjected to an axial load of 5.20 x 105 N and the maximum allowable stress in the pipe is 7.5 x 10º N/m², calculate the minimum wall thickness required for the pipe. Give your answer in millimetres (mm) to 2 decimal places. c) A wire with a Young's Modulus, E, of 8.5 x 106 N/m² and an original length of 1.5 m is under tension. If the wire length extension is 2.5 mm, calculate the stress in the wire. Give your answer in N/m² to 2 decimal places.
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