371863 A block of mass \(8 \mathrm{~kg}\) is suspended by a rope of length \(3 \mathrm{~m}\) from the ceiling. A force of \(40 \mathrm{~N}\) is applied horizontally to the block. Then the angle that the rope makes with the vertical in equilibrium is
(acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\), neglect the mass of the rope)

371864 Three masses \(M=100 \mathrm{~kg}, m_{1}=10 \mathrm{~kg}\), and \(m_{2}=\) \(20 \mathrm{~kg}\) are arranged in a system as shown in figure. All the surfaces are frictionless and strings are inextensible and weightless. The pulleys are also weightless and frictionless. A force \(F\) is applied on the system so that the mass \(m_{2}\) moves upward with an acceleration of \(2 \mathrm{~ms}^{-2}\). The value of \(F\) is :
\(\left(\right.\) Take \(\mathrm{g}=10 \mathrm{~ms}^{-2}\) )

371865 A block of mass \(40 \mathrm{~kg}\) sliders over a surface, when a mass of \(4 \mathrm{~kg}\) is suspended through an inextensible massless string passing over frictionless pulley as shown below. The coefficient of kinetic friction between the surface and block is \(\mathbf{0 . 0 2}\). The acceleration of block is. (Given \(\mathrm{g}=10 \mathrm{~ms}^{-2}\) )

371866 Two masses \(M_{1}\) and \(M_{2}\) are tied together at the two ends of a light inextensible string that passes over a frictionless pulley. When the mass \(M_{2}\) is twice that of \(M_{1}\), the acceleration of the system is \(a_{1}\). When the mass \(M_{2}\) is thrice that of \(M_{1}\). The acceleration of the system is \(a_{2}\). The ratio \(\frac{a_{1}}{a_{2}}\) will be:

371867 A uniform metal chain of mass \(M\) and length ' \(L\) ' passes over a massless and frictionless pulley. It is released from rest with a part of its length ' \(l\) ' is hanging on one side and rest of its length ' \(\mathrm{L}-l\) ' is hanging on the other side of the pulley. At a certain point of time, when \(\ell=\frac{L}{x}\), the acceleration of the chain is \(\frac{g}{2}\). The value of \(x\) is.....

371863 A block of mass \(8 \mathrm{~kg}\) is suspended by a rope of length \(3 \mathrm{~m}\) from the ceiling. A force of \(40 \mathrm{~N}\) is applied horizontally to the block. Then the angle that the rope makes with the vertical in equilibrium is
(acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\), neglect the mass of the rope)

371864 Three masses \(M=100 \mathrm{~kg}, m_{1}=10 \mathrm{~kg}\), and \(m_{2}=\) \(20 \mathrm{~kg}\) are arranged in a system as shown in figure. All the surfaces are frictionless and strings are inextensible and weightless. The pulleys are also weightless and frictionless. A force \(F\) is applied on the system so that the mass \(m_{2}\) moves upward with an acceleration of \(2 \mathrm{~ms}^{-2}\). The value of \(F\) is :
\(\left(\right.\) Take \(\mathrm{g}=10 \mathrm{~ms}^{-2}\) )

371865 A block of mass \(40 \mathrm{~kg}\) sliders over a surface, when a mass of \(4 \mathrm{~kg}\) is suspended through an inextensible massless string passing over frictionless pulley as shown below. The coefficient of kinetic friction between the surface and block is \(\mathbf{0 . 0 2}\). The acceleration of block is. (Given \(\mathrm{g}=10 \mathrm{~ms}^{-2}\) )

371866 Two masses \(M_{1}\) and \(M_{2}\) are tied together at the two ends of a light inextensible string that passes over a frictionless pulley. When the mass \(M_{2}\) is twice that of \(M_{1}\), the acceleration of the system is \(a_{1}\). When the mass \(M_{2}\) is thrice that of \(M_{1}\). The acceleration of the system is \(a_{2}\). The ratio \(\frac{a_{1}}{a_{2}}\) will be:

371867 A uniform metal chain of mass \(M\) and length ' \(L\) ' passes over a massless and frictionless pulley. It is released from rest with a part of its length ' \(l\) ' is hanging on one side and rest of its length ' \(\mathrm{L}-l\) ' is hanging on the other side of the pulley. At a certain point of time, when \(\ell=\frac{L}{x}\), the acceleration of the chain is \(\frac{g}{2}\). The value of \(x\) is.....

371863 A block of mass \(8 \mathrm{~kg}\) is suspended by a rope of length \(3 \mathrm{~m}\) from the ceiling. A force of \(40 \mathrm{~N}\) is applied horizontally to the block. Then the angle that the rope makes with the vertical in equilibrium is
(acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\), neglect the mass of the rope)

371864 Three masses \(M=100 \mathrm{~kg}, m_{1}=10 \mathrm{~kg}\), and \(m_{2}=\) \(20 \mathrm{~kg}\) are arranged in a system as shown in figure. All the surfaces are frictionless and strings are inextensible and weightless. The pulleys are also weightless and frictionless. A force \(F\) is applied on the system so that the mass \(m_{2}\) moves upward with an acceleration of \(2 \mathrm{~ms}^{-2}\). The value of \(F\) is :
\(\left(\right.\) Take \(\mathrm{g}=10 \mathrm{~ms}^{-2}\) )

371865 A block of mass \(40 \mathrm{~kg}\) sliders over a surface, when a mass of \(4 \mathrm{~kg}\) is suspended through an inextensible massless string passing over frictionless pulley as shown below. The coefficient of kinetic friction between the surface and block is \(\mathbf{0 . 0 2}\). The acceleration of block is. (Given \(\mathrm{g}=10 \mathrm{~ms}^{-2}\) )

371866 Two masses \(M_{1}\) and \(M_{2}\) are tied together at the two ends of a light inextensible string that passes over a frictionless pulley. When the mass \(M_{2}\) is twice that of \(M_{1}\), the acceleration of the system is \(a_{1}\). When the mass \(M_{2}\) is thrice that of \(M_{1}\). The acceleration of the system is \(a_{2}\). The ratio \(\frac{a_{1}}{a_{2}}\) will be:

371867 A uniform metal chain of mass \(M\) and length ' \(L\) ' passes over a massless and frictionless pulley. It is released from rest with a part of its length ' \(l\) ' is hanging on one side and rest of its length ' \(\mathrm{L}-l\) ' is hanging on the other side of the pulley. At a certain point of time, when \(\ell=\frac{L}{x}\), the acceleration of the chain is \(\frac{g}{2}\). The value of \(x\) is.....

371863 A block of mass \(8 \mathrm{~kg}\) is suspended by a rope of length \(3 \mathrm{~m}\) from the ceiling. A force of \(40 \mathrm{~N}\) is applied horizontally to the block. Then the angle that the rope makes with the vertical in equilibrium is
(acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\), neglect the mass of the rope)

371864 Three masses \(M=100 \mathrm{~kg}, m_{1}=10 \mathrm{~kg}\), and \(m_{2}=\) \(20 \mathrm{~kg}\) are arranged in a system as shown in figure. All the surfaces are frictionless and strings are inextensible and weightless. The pulleys are also weightless and frictionless. A force \(F\) is applied on the system so that the mass \(m_{2}\) moves upward with an acceleration of \(2 \mathrm{~ms}^{-2}\). The value of \(F\) is :
\(\left(\right.\) Take \(\mathrm{g}=10 \mathrm{~ms}^{-2}\) )

371865 A block of mass \(40 \mathrm{~kg}\) sliders over a surface, when a mass of \(4 \mathrm{~kg}\) is suspended through an inextensible massless string passing over frictionless pulley as shown below. The coefficient of kinetic friction between the surface and block is \(\mathbf{0 . 0 2}\). The acceleration of block is. (Given \(\mathrm{g}=10 \mathrm{~ms}^{-2}\) )

371866 Two masses \(M_{1}\) and \(M_{2}\) are tied together at the two ends of a light inextensible string that passes over a frictionless pulley. When the mass \(M_{2}\) is twice that of \(M_{1}\), the acceleration of the system is \(a_{1}\). When the mass \(M_{2}\) is thrice that of \(M_{1}\). The acceleration of the system is \(a_{2}\). The ratio \(\frac{a_{1}}{a_{2}}\) will be:

371867 A uniform metal chain of mass \(M\) and length ' \(L\) ' passes over a massless and frictionless pulley. It is released from rest with a part of its length ' \(l\) ' is hanging on one side and rest of its length ' \(\mathrm{L}-l\) ' is hanging on the other side of the pulley. At a certain point of time, when \(\ell=\frac{L}{x}\), the acceleration of the chain is \(\frac{g}{2}\). The value of \(x\) is.....

371863 A block of mass \(8 \mathrm{~kg}\) is suspended by a rope of length \(3 \mathrm{~m}\) from the ceiling. A force of \(40 \mathrm{~N}\) is applied horizontally to the block. Then the angle that the rope makes with the vertical in equilibrium is
(acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\), neglect the mass of the rope)

371864 Three masses \(M=100 \mathrm{~kg}, m_{1}=10 \mathrm{~kg}\), and \(m_{2}=\) \(20 \mathrm{~kg}\) are arranged in a system as shown in figure. All the surfaces are frictionless and strings are inextensible and weightless. The pulleys are also weightless and frictionless. A force \(F\) is applied on the system so that the mass \(m_{2}\) moves upward with an acceleration of \(2 \mathrm{~ms}^{-2}\). The value of \(F\) is :
\(\left(\right.\) Take \(\mathrm{g}=10 \mathrm{~ms}^{-2}\) )

371865 A block of mass \(40 \mathrm{~kg}\) sliders over a surface, when a mass of \(4 \mathrm{~kg}\) is suspended through an inextensible massless string passing over frictionless pulley as shown below. The coefficient of kinetic friction between the surface and block is \(\mathbf{0 . 0 2}\). The acceleration of block is. (Given \(\mathrm{g}=10 \mathrm{~ms}^{-2}\) )

371866 Two masses \(M_{1}\) and \(M_{2}\) are tied together at the two ends of a light inextensible string that passes over a frictionless pulley. When the mass \(M_{2}\) is twice that of \(M_{1}\), the acceleration of the system is \(a_{1}\). When the mass \(M_{2}\) is thrice that of \(M_{1}\). The acceleration of the system is \(a_{2}\). The ratio \(\frac{a_{1}}{a_{2}}\) will be:

371867 A uniform metal chain of mass \(M\) and length ' \(L\) ' passes over a massless and frictionless pulley. It is released from rest with a part of its length ' \(l\) ' is hanging on one side and rest of its length ' \(\mathrm{L}-l\) ' is hanging on the other side of the pulley. At a certain point of time, when \(\ell=\frac{L}{x}\), the acceleration of the chain is \(\frac{g}{2}\). The value of \(x\) is.....