A rigid bar AB is acted upon by force as shown in the diagram. Reduce the force into :
a. SINGLE FORCE
b. SINGLE FORCE AND COUPLE AT D
c. SINGLE FORCE AND COUPLE AT C
Answers
Geothermal energy is a clean, renewable resource that can be harnessed for use as heat and electricity. Geothermal energy is heat that is generated within the Earth. (Geo means “earth,” and thermal means “heat” in Greek.) It is a renewable resource that can be harvested for human use.
★Please Mark As Brainliest Answer And Follow Me!!
Answer:
(i) A single force: A single force means just to find out the resultant of the system. Since there are parallel force i.e resultant is sum of vertical forces, R = 32.5 –150 + 67.5 –10 = -60 R = (∑V2)1/2 R = 60N Let d = Distance of resultant from A towards right. To find out location of resultant apply varignon’s theorem : R.d = 150 × 1 – 67.5 × 2 + 10 × 3.5 60.d = 150 × 1 – 67.5 × 2 + 10 × 3.5 d = 0.833 m i.e resultant is at a distance of 0.83 m from A. (ii) A single force and a couple at A: It means the whole system is to convert in to a single force and a single couple. Since we convert all forces in to a single force i.e. resultant. Now apply two equal and opposite force i.e. ‘R’ at point A. Now force ‘R’ which is act at point E and upward force which is act at point A makes a couple of magnitude, Magnitude = Force × distance = 60 × 0.833 = 49.98 Nm and a single force of magnitude = 60N (iii) A single force and a couple at B: Since AE = 0.833 m, then BE = 3.5 – 0.833 = 2.67 m Now, the force R = –60N is moved to the point B, by a single force R = –60N and a couple of magnitude = R × BE = –60 × 2.67 = 160 Nm. Hence single force is 60 N and couple is 160 Nm
This is your answer