149794 A solid body rotates with angular velocity \(\omega=a t \hat{\mathbf{i}}+b t^{2} \hat{\mathbf{j}}\) where \(a=1 \mathrm{rad} / \mathrm{s}^{2}\) and \(b=0.5\) \(\mathrm{rad} / \mathrm{s}^{2}\) and \(t\) is in seconds. Calculate the angle between the vectors of the angular velocity and the angular acceleration at \(\mathbf{t}=1\) sec.

149795 A disc has mass ' \(M\) ' and radius ' \(R\) '. How much tangential force should be applied to the rim of the disc so as to rotate with angular velocity ' \(\omega\) ' in time ' \(t\) '?

149796 A uniform circular disc of mass ' \(M\) ' and radius ' \(R\) ' is rotating in a horizontal plane about an axis passing through its centre of mass and perpendicular to its plane with an angular velocity \(\omega\). Another disc of same radius but mass \((M / 2)\) is placed gently on the first disc. The angular velocity of the system now is

149797 The angular speed of the wheel of a vehicle is increased from \(360 \mathrm{rpm}\) to \(1200 \mathrm{rpm}\) in \(14 \mathrm{~s}\). Its angular acceleration is

149794 A solid body rotates with angular velocity \(\omega=a t \hat{\mathbf{i}}+b t^{2} \hat{\mathbf{j}}\) where \(a=1 \mathrm{rad} / \mathrm{s}^{2}\) and \(b=0.5\) \(\mathrm{rad} / \mathrm{s}^{2}\) and \(t\) is in seconds. Calculate the angle between the vectors of the angular velocity and the angular acceleration at \(\mathbf{t}=1\) sec.

149795 A disc has mass ' \(M\) ' and radius ' \(R\) '. How much tangential force should be applied to the rim of the disc so as to rotate with angular velocity ' \(\omega\) ' in time ' \(t\) '?

149796 A uniform circular disc of mass ' \(M\) ' and radius ' \(R\) ' is rotating in a horizontal plane about an axis passing through its centre of mass and perpendicular to its plane with an angular velocity \(\omega\). Another disc of same radius but mass \((M / 2)\) is placed gently on the first disc. The angular velocity of the system now is

149797 The angular speed of the wheel of a vehicle is increased from \(360 \mathrm{rpm}\) to \(1200 \mathrm{rpm}\) in \(14 \mathrm{~s}\). Its angular acceleration is

149794 A solid body rotates with angular velocity \(\omega=a t \hat{\mathbf{i}}+b t^{2} \hat{\mathbf{j}}\) where \(a=1 \mathrm{rad} / \mathrm{s}^{2}\) and \(b=0.5\) \(\mathrm{rad} / \mathrm{s}^{2}\) and \(t\) is in seconds. Calculate the angle between the vectors of the angular velocity and the angular acceleration at \(\mathbf{t}=1\) sec.

149795 A disc has mass ' \(M\) ' and radius ' \(R\) '. How much tangential force should be applied to the rim of the disc so as to rotate with angular velocity ' \(\omega\) ' in time ' \(t\) '?

149796 A uniform circular disc of mass ' \(M\) ' and radius ' \(R\) ' is rotating in a horizontal plane about an axis passing through its centre of mass and perpendicular to its plane with an angular velocity \(\omega\). Another disc of same radius but mass \((M / 2)\) is placed gently on the first disc. The angular velocity of the system now is

149797 The angular speed of the wheel of a vehicle is increased from \(360 \mathrm{rpm}\) to \(1200 \mathrm{rpm}\) in \(14 \mathrm{~s}\). Its angular acceleration is

149794 A solid body rotates with angular velocity \(\omega=a t \hat{\mathbf{i}}+b t^{2} \hat{\mathbf{j}}\) where \(a=1 \mathrm{rad} / \mathrm{s}^{2}\) and \(b=0.5\) \(\mathrm{rad} / \mathrm{s}^{2}\) and \(t\) is in seconds. Calculate the angle between the vectors of the angular velocity and the angular acceleration at \(\mathbf{t}=1\) sec.

149795 A disc has mass ' \(M\) ' and radius ' \(R\) '. How much tangential force should be applied to the rim of the disc so as to rotate with angular velocity ' \(\omega\) ' in time ' \(t\) '?

149796 A uniform circular disc of mass ' \(M\) ' and radius ' \(R\) ' is rotating in a horizontal plane about an axis passing through its centre of mass and perpendicular to its plane with an angular velocity \(\omega\). Another disc of same radius but mass \((M / 2)\) is placed gently on the first disc. The angular velocity of the system now is

149797 The angular speed of the wheel of a vehicle is increased from \(360 \mathrm{rpm}\) to \(1200 \mathrm{rpm}\) in \(14 \mathrm{~s}\). Its angular acceleration is