163774 A solid cylinder of mass \(\mathbf{2 0} \mathbf{~ k g}\) rotates about its axis with angular speed \(100 \mathrm{rad} \mathrm{s}^{-1}\). The radius of the cylinder is \(0.25 \mathrm{~m}\). What is the kinetic energy associated with the rotation of the cylinder?

163775 A small disc of radius \(2 \mathrm{~cm}\) is cut from a disc of radius \(6 \mathrm{~cm}\). If the distance between their centres is \(3.2 \mathrm{~cm}\), what is the shift in the centre of mass of the disc :

163776 A rod of length \(50 \mathrm{~cm}\) is pivoted at one end. It is raised such that if makes an angle of \(30^{\circ}\) from the horizontal as shown and released from rest. Its angular speed when it passes through the horizontal (in \(\operatorname{rad~s}^{-1}\) ) will be \(\left(g=10 \mathrm{~ms}^{-2}\right)\)

163777 The magnitude of torque on a particle of mass \(1 \mathrm{~kg}\) is \(2.5 \mathrm{Nm}\) about the origin. If the force acting on it is \(1 \mathrm{~N}\), and the distance of the particle from the origin is \(\mathbf{5} \mathbf{~}\), what is the angle between the force and the position vector? (in radians) :

163774 A solid cylinder of mass \(\mathbf{2 0} \mathbf{~ k g}\) rotates about its axis with angular speed \(100 \mathrm{rad} \mathrm{s}^{-1}\). The radius of the cylinder is \(0.25 \mathrm{~m}\). What is the kinetic energy associated with the rotation of the cylinder?

163775 A small disc of radius \(2 \mathrm{~cm}\) is cut from a disc of radius \(6 \mathrm{~cm}\). If the distance between their centres is \(3.2 \mathrm{~cm}\), what is the shift in the centre of mass of the disc :

163776 A rod of length \(50 \mathrm{~cm}\) is pivoted at one end. It is raised such that if makes an angle of \(30^{\circ}\) from the horizontal as shown and released from rest. Its angular speed when it passes through the horizontal (in \(\operatorname{rad~s}^{-1}\) ) will be \(\left(g=10 \mathrm{~ms}^{-2}\right)\)

163777 The magnitude of torque on a particle of mass \(1 \mathrm{~kg}\) is \(2.5 \mathrm{Nm}\) about the origin. If the force acting on it is \(1 \mathrm{~N}\), and the distance of the particle from the origin is \(\mathbf{5} \mathbf{~}\), what is the angle between the force and the position vector? (in radians) :

163774 A solid cylinder of mass \(\mathbf{2 0} \mathbf{~ k g}\) rotates about its axis with angular speed \(100 \mathrm{rad} \mathrm{s}^{-1}\). The radius of the cylinder is \(0.25 \mathrm{~m}\). What is the kinetic energy associated with the rotation of the cylinder?

163775 A small disc of radius \(2 \mathrm{~cm}\) is cut from a disc of radius \(6 \mathrm{~cm}\). If the distance between their centres is \(3.2 \mathrm{~cm}\), what is the shift in the centre of mass of the disc :

163776 A rod of length \(50 \mathrm{~cm}\) is pivoted at one end. It is raised such that if makes an angle of \(30^{\circ}\) from the horizontal as shown and released from rest. Its angular speed when it passes through the horizontal (in \(\operatorname{rad~s}^{-1}\) ) will be \(\left(g=10 \mathrm{~ms}^{-2}\right)\)

163777 The magnitude of torque on a particle of mass \(1 \mathrm{~kg}\) is \(2.5 \mathrm{Nm}\) about the origin. If the force acting on it is \(1 \mathrm{~N}\), and the distance of the particle from the origin is \(\mathbf{5} \mathbf{~}\), what is the angle between the force and the position vector? (in radians) :

163774 A solid cylinder of mass \(\mathbf{2 0} \mathbf{~ k g}\) rotates about its axis with angular speed \(100 \mathrm{rad} \mathrm{s}^{-1}\). The radius of the cylinder is \(0.25 \mathrm{~m}\). What is the kinetic energy associated with the rotation of the cylinder?

163775 A small disc of radius \(2 \mathrm{~cm}\) is cut from a disc of radius \(6 \mathrm{~cm}\). If the distance between their centres is \(3.2 \mathrm{~cm}\), what is the shift in the centre of mass of the disc :

163776 A rod of length \(50 \mathrm{~cm}\) is pivoted at one end. It is raised such that if makes an angle of \(30^{\circ}\) from the horizontal as shown and released from rest. Its angular speed when it passes through the horizontal (in \(\operatorname{rad~s}^{-1}\) ) will be \(\left(g=10 \mathrm{~ms}^{-2}\right)\)

163777 The magnitude of torque on a particle of mass \(1 \mathrm{~kg}\) is \(2.5 \mathrm{Nm}\) about the origin. If the force acting on it is \(1 \mathrm{~N}\), and the distance of the particle from the origin is \(\mathbf{5} \mathbf{~}\), what is the angle between the force and the position vector? (in radians) :