Two horses pull horizontally on ropes attached to a stump. The two forces and that they apply to the slump are such that the net (resultant) force has a magnitude equal to that of and makes an angle of 90° with Let ?F?1 = 1300 N and ?R? = 1300 N also. Find the magnitude of and its direction (relative to ).

Solution 35P Step 1: According to the question, F 1 F =2R--------------------(1) 2 2 F 2 R F = 1 R + F 1 2RF c1s ----------------(2) In the question the magnitudes of R and F1 are equal which is 1300 N. 0 The angle between R and F1 is 90 . Now, equation (2) will become, 2 2 0 F 2 R F = 1300+ 1300 2 × 1300 × 1300 × cos 90 = 3380000 + 0 = 1838.477 N . The magnitude of the vector F i2 1838.477 N.