Question

N3M.12

between figure the acceleration arrow you should draw through each position dot during step 1 should point from the puck's position at that instant toward the table's center, since the Ca string's tension force acts in that direction.] (b) Check your work using the Newton program. N3M.12 In this problem, we will explore the necessary con- t ditions for uniform circular motion. (a) According to chapter N1, an object moving in a circle of radius rat constant speed llexperiences an acceleration of constant magnitude lal=1히2/r directed toward the circle's center. But is the converse true? Does an object having a constant magnitude of acceleration N3 toward the origin necessarily move with a constant speed in a circle if its initial velocity is perpendicular to its position? Set the time step to be 0.05 s, the object's initial position to be [x, y] = [1 m, 0 m], its initial veloc- ity to be [vy vl [0 m/s, 1 m/s] (note: v L F), and the acceleration to be-1 m/s2 in the r direction (-1 m/s in the -r direction). Note that the acceleration has a mag- nitude equal to 2/r for the given initial conditions Does this generate a circular trajectory with constant speed and the right radius? Submit a graph justifying your conclusions. (b) Reset the time step size to 0.05 s but increase the veloc- ity to 1.2 m/s in the y direction while leaving every- thing else the same. Now is the path circular? Does on from Forces making the time step smaller change your result? Sub- mit at least one graph in support of your claims. (c) Instead of making the acceleration constant and directed toward a central point, make it constant and always per- pendicular to the object's velocity. Is the orbit circular now? For all speeds? If so, are the trajectories you get con- sistent with a 3l/r? Submit at least one graph with a speed not equal to 1 m/s to support your case. erivations 3D.1 Integrate the following functions from 0 to t. (a) f(t) bt (b) f(t) = b(t-T) (b and T are constants) D.2 Integrate the following functions from 0 to t. a) f(t)- bt3 b) f(t)-b/(t +T) (b and T are cnstants

Answer 1

The answer for the parts 3D are given. Thank you. Please like the answer.

esivatiova:- 2. 302 4- fly (d-T) 를