Three masses are placed on the x-axis : 300 g at origin, 500 g at x = 40 cm

Three masses are placed on the x-axis : 300 g at origin, 500 g at x = 40 cm and 400 g at x = 70 cm. The distance of the centre of mass from the origin is:

Options

(a) 40 cm
(b) 45 cm
(c) 50 cm
(d) 30 cm

Correct Answer:

40 cm

Explanation:

Xcm = m₁x₁ + m₂x₂ + m₃x₃ / m₁ + m₂ + m₃
Xcm = 300 x (0) + 500 x (40) + 400 x 70 / 1200
Xcm = 500 x 40 + 400 x 70 / 1200
Xcm = 50 + 70 / 3 = 120 / 3 = 40 cm

admin:

Related Questions

  1. Two capacitors of capacitances 2 μF and 3 μF are joined in series.
  2. Dimensions [ML⁻¹T⁻¹] are related with
  3. The respective speeds of the molecules are 1,2,3,4 and 5 km/s.
  4. There are four light-weight-rod samples A,B,C,D seperately suspended by threads
  5. A stone is tied to a string of length l and whirled in a vertical circle with the other end