On a frictionless, horizontal air track, a glider oscillates at the end of an ideal spring of force constant 2.50 N/cm. The graph in ?Fig. E14.19 shows the acceleration of the glider as a function of time. Find (a) the mass of the glider; (b) the maximum displacement of the glider from the equilibrium point; (c) the maximum force the spring exerts on the glider.

Solution 17E m The time period of oscillation of SHM is given by T = 2 k …..(1), where m is the mass of the object and k is spring constant. Now, if we have a look at the given figure, the time period of one complete oscillation is T = 0.30 s 0.10 s = 0.20 s We are given, k = 2.50 N/cm = 250 N/m Substituting k and m values in equation (1), we get 0.20 s = 2 250 2 2 m = 250 × (0.2) /4 kg m = 0.253 kg (a) Therefore, t ass of the glider is 0.253 kg. From...