What force must man exert on rope to keep platform in equilibrium : (Take `g=10m//s^(2)`)

A mass of 6 kg is suspended by a rope of length 2 m from the ceilling A force of 50 N in the horizontal direction is applied at the mid - point P of the rope as shown . What is the angle the rope makes with the vertical in equilibrium ? (Take = 10 ms^(-2) ) . Neglect mass of the rope .

A mass of 20 kg is suspended by a rope of length 2 m from a ceiling. A force of 173.2 N in the horizontal direction is applied at the midpoint of the rope as shown in Fig. What is the angle the rope makes with the horizontal in equilibrium ? Take g = 10 ms^(-2) . Neglect mass of the rope.

A block fof mass 5kg is suspended by a massless rope of length 2 m from the ceilling. A force of 50 N is applied in the horizontal direction at the midpoint P of the rope, as shown in the figure. The angle made by the rope with the vertical in equilibrium is (Take g=10ms^(-2)m .

A solid block of mass m = 1 kg is reasting on a horizontal platform as shown in figure. The z direction is vertically up. Coefficient of friction between the block and the paltform is mu = 0.2 . The platform is moved with a time dependent velocity given vec(V) = (2that(i) + that(j) + 3hatk) m//s . Then the magnitude of the net force exerted by the block on the platform is : (Take g = 10 m//s^(2) )

A 60kg painter on a 15 kg platform. A rope attached to the platform and passing over an overhead pulley allows the painter to raise himself along with the platform. What force must he exert on the rope so as to attain an upward speed of 1 m//s in 1s ?

A horizontal platform vibrate up and down with a simple harmonic motion of amplitude 20 c.m. At what frequency will an object kept on the platform remain just in contact with the platform ? Take g = 9.81 m//s^(2) .

For the uniform 5 kg beam shown in figure-2.41(a), how large is the tension in the supporting cable and what are the components of the force exerted by the hinge on the beam ? Take g = 10 m//s^(2)

A man with mass 85 kg stands on a platform with mass 25 kg. He pulls on the free end of a rope that runs over a pulley on the ceiling and has its other end fastened to the platform. The mass of the rope and the mass of the pulley can be neglected, and the pulley is frictionless. With what force does he have to pull so that he and the platform have an upward acceleration of 2.2m/s^(2) . (Take g= 10m/s^(2) )

A horizontal platform with an angular placed on it is executing S.H.M. in the vertical direction .The amplitude of oscillation is 4.0 xx 10^(-3)m What must be the loast period of there oscillation so that the object is not setached from the plateform ? (Taking g = 10m//s^(2) )