Two forces of 60N and 80N act simultaneously at a point dertermine their resultant by using tail to head method
for distance(scalar) you need a ruler
but
for displacement(vector) you need a compass and a ruler
Force is a vector
so we not only need the magnitude but also the direction to do this.
To find the resultant of two forces using the tail to head method, follow these steps:
Step 1: Draw a vector representing the first force. Label it as "F1" and indicate its magnitude and direction. For this problem, draw a vector of 60N pointing in a specific direction.
Step 2: Draw a vector representing the second force. Label it as "F2" and indicate its magnitude and direction. For this problem, draw a vector of 80N pointing in a different direction than F1.
Step 3: Place the tail of the second vector (F2) at the head of the first vector (F1).
Step 4: Draw a vector from the tail of the first vector (F1) to the head of the second vector (F2). This vector represents the resultant force.
Step 5: Measure the magnitude of the resultant force using a ruler or measuring tape. In this case, the magnitude of the resultant force is the length of the vector from step 4.
Step 6: Identify the direction of the resultant force by measuring the angle between the resultant force vector and a known reference line.
Step 7: Optionally, you can calculate the magnitude and direction of the resultant force using trigonometric formulas if the vectors form a right triangle configuration.
Following these steps, you should be able to determine the resultant force of the two given forces using the tail to head method.
To determine the resultant of two forces using the tail to head method, follow these steps:
1. Draw a rough diagram: Draw a reference line with an arrow at one end to represent the point where the forces act. Label this point as "O". Label the forces as "F1" (60N) and "F2" (80N).
2. Draw the vectors: Start with the first force, F1 (60N). Draw an arrow to represent the magnitude and direction of F1. Connect the tail of F1 to point O.
3. Add the second force: Draw the second force vector, F2 (80N), with its tail starting from the arrowhead of F1. The direction and magnitude of F2 should be indicated accurately.
4. Connect the head and tail: Draw a line from the tail of the first vector (F1) to the head of the second vector (F2). This line represents the resultant vector R.
5. Measure the length of the resultant: Use a ruler or protractor to measure the length of the resultant vector R.
6. Determine the direction: Use a protractor or compass to measure the angle between the reference line and the resultant vector R. This angle represents the direction of the resultant force.
7. Calculate the numerical value of the resultant: Use the Pythagorean theorem and trigonometry to calculate the magnitude of the resultant force. The Pythagorean theorem states that the square of the hypotenuse (R) is equal to the sum of the squares of the other two sides (F1 and F2). You can then use trigonometry to find the angle of the resultant force.
In this case, the forces are 60N and 80N. Following the above steps, draw the vectors to scale, connect the head and tail, measure the length of the resultant, determine its direction, and finally calculate the numerical value of the resultant force using the Pythagorean theorem and trigonometry.