A bob of heavy mass \(m\) is suspended by a light string of length \(l\). The bob is given a horizontal velocity \(v_0\) as shown in figure. If the string gets slack at some point P making an angle \( \theta \) from the horizontal, the ratio of the speed \(v\) of the bob at point P to its initial speed \(v_0\) is :
Consider a water tank shown in the figure. It has one wall at \(x = L\) and can be taken to be very wide in the z direction. When filled with a liquid of surface tension \(S\) and density \( \rho \), the liquid surface makes angle \( \theta_0 \) (\( \theta_0 < < 1 \)) with the x-axis at \(x = L\). If \(y(x)\) is the height of the surface then the equation for \(y(x)\) is: (take \(g\) as the acceleration due to gravity)
Because of the discern benefits, drugs are frequently used repeatedly. The most important thing, which one fails to realize, is the intrinsic addictive nature of alcohol and drugs. Addiction is a psychological attachment to undeniable effects –such as euphoria and a temporary feeling of well-being – associated with drugs and alcohol.
With regular consumption of drugs, the tolerance level of the receptors present in our body increases. Accordingly, the receptors respond only to higher doses of drugs or alcohol leading to greater intake and addiction. In spite of that, it should be clearly borne in mind that the use of these drugs even once, can be a forerunner to addiction.
Dependence is the tendency of the body to glare a characteristic and unpleasant withdrawal syndrome if the regular dose of drugs/alcohol is precipitously discontinued. This is characterized by anxiety, nausea, shakiness, and sweating, which may be relieved when consumption is resumed again. In some cases, withdrawal symptoms can be very bad and even life-threatening and the person may need medical supervision. Dependence leads the patient to ignore all social norms in order to get adequate funds to quench his/her needs. These consequences in many social adjustment problems.