A body of mass 5 kg moving with a uniform speed 3 2 m s - 1 in X - Y plane along the line y = x + 4 . The angular momentum of the particle about the origin will be _______ kg m 2 s - 1 .

Step-by-step solution

Equation of line given: y - x - 4 = 0 . Let d 1 be the perpendicular distance of given line from origin. d 1 = - 4 1 2 + 1 2 = 2 2 So, | L → | = m v d 1 = 5 × 3 2 × 2 2 kg m 2 s - 1 = 60 kg m 2 s - 1