269615 The mass of a metallic beam of uniform thickness and of length \(6 \mathrm{~m}\) is \(60 \mathrm{~kg}\). The beam is horizontally and symmetrically lies on two vertical pillars which are separated by a distance \(3 \mathrm{~m}\). A person of mass \(75 \mathrm{~kg}\) is walking on this beam. The closest distance to which the person can approach one end of the beam so that the beam does not tilt down is (neglect thickness of pillars)

269616 Two persons \(P\) and \(Q\) of same height are carrying a uniform beam of length \(3 \mathrm{~m}\). If \(Q\) is at one end, the distance of \(P\) from the other end so that \(P, Q\) receive loads in the ratio 5 : 3 is

269617 A uniform meter scale of mass \(1 \mathrm{~kg}\) is placed on table such that a part of the scale is beyond the edge. If a body of mass \(0.25 \mathrm{~kg}\) is hung at the end of the scale then the minimum length of scale that should lie on the table so that it does not tilt is

269618 A metallic cube of side length \(1.5 \mathrm{~m}\) and of mass 3.2 metric ton is on horizontal rough floor. The minimum horizontal force that should be applied on the cube at a height 1.2 \(\mathrm{m}\) from that floor to turn the cube about its lower edge is

269615 The mass of a metallic beam of uniform thickness and of length \(6 \mathrm{~m}\) is \(60 \mathrm{~kg}\). The beam is horizontally and symmetrically lies on two vertical pillars which are separated by a distance \(3 \mathrm{~m}\). A person of mass \(75 \mathrm{~kg}\) is walking on this beam. The closest distance to which the person can approach one end of the beam so that the beam does not tilt down is (neglect thickness of pillars)

269616 Two persons \(P\) and \(Q\) of same height are carrying a uniform beam of length \(3 \mathrm{~m}\). If \(Q\) is at one end, the distance of \(P\) from the other end so that \(P, Q\) receive loads in the ratio 5 : 3 is

269617 A uniform meter scale of mass \(1 \mathrm{~kg}\) is placed on table such that a part of the scale is beyond the edge. If a body of mass \(0.25 \mathrm{~kg}\) is hung at the end of the scale then the minimum length of scale that should lie on the table so that it does not tilt is

269618 A metallic cube of side length \(1.5 \mathrm{~m}\) and of mass 3.2 metric ton is on horizontal rough floor. The minimum horizontal force that should be applied on the cube at a height 1.2 \(\mathrm{m}\) from that floor to turn the cube about its lower edge is

269615 The mass of a metallic beam of uniform thickness and of length \(6 \mathrm{~m}\) is \(60 \mathrm{~kg}\). The beam is horizontally and symmetrically lies on two vertical pillars which are separated by a distance \(3 \mathrm{~m}\). A person of mass \(75 \mathrm{~kg}\) is walking on this beam. The closest distance to which the person can approach one end of the beam so that the beam does not tilt down is (neglect thickness of pillars)

269616 Two persons \(P\) and \(Q\) of same height are carrying a uniform beam of length \(3 \mathrm{~m}\). If \(Q\) is at one end, the distance of \(P\) from the other end so that \(P, Q\) receive loads in the ratio 5 : 3 is

269617 A uniform meter scale of mass \(1 \mathrm{~kg}\) is placed on table such that a part of the scale is beyond the edge. If a body of mass \(0.25 \mathrm{~kg}\) is hung at the end of the scale then the minimum length of scale that should lie on the table so that it does not tilt is

269618 A metallic cube of side length \(1.5 \mathrm{~m}\) and of mass 3.2 metric ton is on horizontal rough floor. The minimum horizontal force that should be applied on the cube at a height 1.2 \(\mathrm{m}\) from that floor to turn the cube about its lower edge is

269615 The mass of a metallic beam of uniform thickness and of length \(6 \mathrm{~m}\) is \(60 \mathrm{~kg}\). The beam is horizontally and symmetrically lies on two vertical pillars which are separated by a distance \(3 \mathrm{~m}\). A person of mass \(75 \mathrm{~kg}\) is walking on this beam. The closest distance to which the person can approach one end of the beam so that the beam does not tilt down is (neglect thickness of pillars)

269616 Two persons \(P\) and \(Q\) of same height are carrying a uniform beam of length \(3 \mathrm{~m}\). If \(Q\) is at one end, the distance of \(P\) from the other end so that \(P, Q\) receive loads in the ratio 5 : 3 is

269617 A uniform meter scale of mass \(1 \mathrm{~kg}\) is placed on table such that a part of the scale is beyond the edge. If a body of mass \(0.25 \mathrm{~kg}\) is hung at the end of the scale then the minimum length of scale that should lie on the table so that it does not tilt is

269618 A metallic cube of side length \(1.5 \mathrm{~m}\) and of mass 3.2 metric ton is on horizontal rough floor. The minimum horizontal force that should be applied on the cube at a height 1.2 \(\mathrm{m}\) from that floor to turn the cube about its lower edge is