2. As some molten metal splashes, one droplet flies off to S the east with initi

Question

2. As some molten metal splashes, one droplet flies off to S the east with initial velocity y- at angle Theta above the horizontal, and another droplet flies off to the west with the same speed at the same angle above the horizontal as shown in Figure below. In terms of vi and Thetai, find the distance between the two droplets as a function of time. 3. A pendulum with a cord of length r =1.00 m swings in a vertical plane (Fig. P4.70). When the pendulum is in the two horizontal positions Theta =90.0degree and Theta =270degree, its speed is 5.00 m/s. Find the magnitude of (a) the radial g acceleration and (b) the tangential acceleration for these positions. (c) Draw vector diagrams to determine the direction of the total acceleration for these two positions. (d) Calculate the magnitude and direction of the total acceleration at these two positions.

Explanation / Answer

2)

at any time y coardinate of two droplets is same.

so, horizontal distance between two droplets, d = 2*vi*cos(theta_i)*t <<<<------Answer

3)

a) a_rad = v^2/r

= 5^2/1

= 25 m/s^2

b) a_tan = g

= 9.8 m/s^2

c)

d) a = sqrt(a_rad^2 + a_tan^2)

= sqrt(25^2 + 9.8^2)

= 26.85 m/s^2

direction : theta = tan^-1(5/25)

= 11.3 degrees below horizonatl(+x axis)

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