Two velocity each 5 ms/s are inclined to each other at 60degree. Find their resultant
Draw the sketch diagram.
Two velocities= 5m/s
Thita= 60degree
Sin 60degree= √3/2
Cos 60degree= 1/2
R= √25+25+2×5×5×1/2
=√75 =8.66m/s
Bita=tan(5√3/2÷5+5/2)
=tan1/√3
Bita=30degree
Draw a sketch diagram
2 * 5 cos 30 = 8.66 m/s
at 30 degrees to each
answer with fig
To find the resultant of two velocities inclined to each other, you can use the parallelogram law of vector addition. According to this law, the magnitude and direction of the resultant vector can be determined by constructing a parallelogram using the two given vectors.
Here's how you can calculate the resultant using the given information:
1. Draw the two given vectors on a piece of paper, making sure their directions and magnitudes are accurately represented. In this case, draw two vectors of equal magnitude (5 m/s) inclined to each other at a 60-degree angle.
2. Complete the parallelogram by drawing lines parallel to the given vectors from their endpoints. The shape formed by these lines will be a parallelogram.
3. The diagonal of the parallelogram from the point of origin (where the two vectors meet) represents the resultant vector.
4. Measure the length of the diagonal using a ruler. This length represents the magnitude of the resultant velocity.
5. Measure the angle between the resultant vector and one of the original vectors using a protractor. This angle represents the direction of the resultant velocity.
By following these steps, you can determine the magnitude and direction of the resultant vector for the given velocities inclined at 60 degrees.