A particle P of mass 0.3 kg is held in equilibrium above a horizontal plane by a force of magnitude 5 N, acting vertically upwards. The particle is attached to two strings PA and PB of lengths 0.9 m and 1.2 m respectively. The points A and B lie on the plane and angle APB = 90° (see diagram). Find the tension in each of the strings. [Figure 3.1]

A particle P is projected with speed 20 m s¯¹ at an angle of 60° below the horizontal, from a point O which is 30 m a…

One end of a light elastic string of natural length 0.6 m and modulus of elasticity 24 N is attached to a fixed point…

Two particles A and B, of masses 0.8 kg and 0.2 kg respectively, are connected by a light inextensible string that pa…

The complex number 1 + 2i is denoted by u.

The line l has equation r = 4i + 3j – k + μ(i + 2j – 2k). The plane p has equation 2x – 3y – z = 4.

A particle P moves in a straight line. The velocity v m s¯¹ at time t s is given by v = 4 + 0.2t for 0 ≤ t ≤ 10, v = …