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A particle moves on a circle of radius r with centripetal acceleration as function of time as ac=k2rt2 where k is a positive constant .Find the following quantities as a function of time at an instant. (A) The speed of the particle. (B) The tangential acceleration of the particle (C) the resultant acceleration and (D) Angle made by the resultant with tangential direction

Now we know that the magnitude of centripetal acceleration is given by, ac=v2/r where, v is the linear velocity of the particle and r is the... View Article

A block of mass m = 1kg is placed on a smooth surface and is connected with a spring of constant K = 100N/m and another end of spring is connected to a fixed wall as shown. The block is pulled by a distance A = 0.10 m from its natural length and released at t = 0(A) The maximum speed is after t=π/20s (B) Time taken to cover the first 0.10 m, t=π/20s (C) Time taken to cover the first 0.05 m, t=π/40s (D) Time taken to cover the first 0.05 m, t=π/30s

Given parameters are K = 100N/m m = 1 kg L = 1 m Now, using the formula for the angular frequency of a spring in simple harmonic motion, ω... View Article