Question

Below are a variety of scenarios involving masses attached to ropes, which are attached in turn to walls or to other objects. Where indicated, label the magnitude of the tension T in the rope as equal to, less than, or greater than Mg (which is the weight of an object of mass M). The three scenarios on the right involve massless, frictionless pulleys. All ropes are massless and do not stretch. The mass m is equal to M/2.

Answer 1

The given figures show a wire attached with masses. There are two forces acts in two directions on the wire. In those forces, gravitational force acts in downward direction and the tensional force acts in upward direction. Figure 1 In the figure 1, the tensional force balances the gravitational force, so tensional force equal to the gravitational force. Figure 2: In the figure 2, the tensional force pulls the block of mass in upward direction, so the tensional force is greater than the gravitational force T>Mg Figure 3: In the figure 3, the two blocks of masses are equal (M), so the tensional force balances the gravitational force on either side. Hence, the tensional force is equal to the gravitational force T=Mg

Figure 4: In the figure 4, here, the two blocks of mass are in the same direction, so two masses of the gravitational force is in downward direction and also it is greater than the tensional force. 2T = mg mg = . Hence, the tensional force is less than the gravitational force. That is Mg Figure 5: In the figure 5, here, the block of mass is rotating in circular motion. In circular motion of the block experiences high tensional force in upward direction, so the tensional force i:s greater than the gravitational force. T> Mg Figure 6: In the figure 6, here, the large block of mass pulls other small block of mass in the downward direction, so the gravitational force is in downward direction is greater than the tensional force in the upward direction. Hence, the gravitational force is greater than the tensional force.

Figure 7: In the figure 7 shows two kinds of tensional and gravitational forces due to the two blocks of masses in two directions. The large block experiences greater tensional force because it has even small block mass. The tensional force of large block balances the weights two blocks Hence, the tensional force is higher than the gravitational force with respect to the large block, which is T > Mg The small block experiences greater gravitational force, so the tensional force with respect to the smaller block is lesser than the gravitational force Figure 8 In the figure 8, here, the block of mass is rotating in spherical motion. In spherical motion the block experiences hightensional force in upward direction, so the tensional force is greater than the gravitational force T > Mg Figure 9 In the figure 9, here, the large block of mass goes the upward direction due to the high tensional force, so the tensional force in upward direction is greater than the gravitational force in the downward direction. Hence, the gravitational force is smaller than the tensional force