Engineering Mechanics- II (Dynamics) Ind.Assignment- 1
1, The velocity of a particle is given by v = 25t2 - 80t - 200, where v is in feet per second and t is in seconds. Plot the velocity v and acceleration versus time for the first 6 seconds of motion and evaluate the velocity when acceleration is zero.
2, A particle moving along a straight line decelerates according to a = -^y, where k is a constant and v is velocity. If it’s initial velocity at time t = 0 is y^Mm/s and its velocity at time t = 2s is v = Im/s, determine the time t and corresponding distance s for the particle speed to be reduced to one - tenth of its initial value
3, Determine the speed at which the basketball at A must be through at the angle of 30°, so that
it makes it to the basket at B.

4, During a short interval the slotted guides are designed to move according to X = 16 -12t +4t2 and Y = 2 + 15t - 3t2,where x and y are in millimeters and t is in seconds . At the instant when t = 2s, determine the radius of curvature Rho (b) of the path of the constrained pin p.

5,The slider p can be moved inward by means of the string S as the bar oA totates about the pivot o. the angular position of the bar is given by 0 = 0.4 + 0.12t + 0.06t3, where 9 is in radians and t is in seconds. The position of the slider is given by r= 0.8 - O.lt -0.05t2, where r is in meters and t is in seconds. Determine and skeatch the velocity and accceleration of the slider at time t=2s. find the angles a and/? which V and a make with the positive x -axis.

Submission Date: -January 24/2023 morning @10:00 o’clock local time. Remember for late submitter 5% mark will be reduced.