Question: Important parameters for this assignment Table 1:Default parameters for kinematics and kinetics ...

Important parameters for this assignment

Table 1: Default parameters for kinematics and kinetics analysisof cricket bowling

Velocity of bowler’s run = 8 m/s

Length of arm = 0.8 m

Height of ball at release = 2.4 m

Mass moment of inertia of the arm, I = 0.64 kgm^2

Length of a cricket pitch = 20 m

Coefficient of restitution between ball and pitch = 0.8

Question 1. By considering work and energy conservation (notcovered in this unit), we arrive at the following equation thatrelates torque (T [Nm]), angular displacement (? [rad]), the massmoment of inertia of the arm (I [kg m2]), and angular velocity (?[rad/s]): ???? = 1/2* ????^2 Use the above expression to calculatethe linear tangential velocity of the ball, v [m/s] when it isreleased by the bowler after a rotation of 225°, with an estimatedtorque applied to the shoulder of 100 Nm (Figure 1). (1 mark)

Question2. The linear tangential velocity of the ball, v youhave calculated in Question 1 is relative to the bowler.Furthermore, it is directed an angle, ? of 5° below the horizontal(see Figure 3). Given that the bowler was running at a horizontalvelocity (vbowler) of 8 m/s during the release, use your knowledgeof vector arithmetic to calculate:

(a) The absolute velocity vector of the ball after release.

(b) The magnitude of the ball’s absolute velocity afterrelease.

After being released, the ball will follow a defined trajectoryas it falls to the ground under the influence of gravity.

Question 3 Use your knowledge of particle kinematics todetermine:

(a) The velocity vector of the ball just before it hits theground.

(b) The magnitude of the ball’s velocity just before it hits theground.

The ball will bounce after it hits the ground. We can simulatethe trajectory of this bounce using the principle of conservationof linear momentum and the coefficient of restitution. Unlike the1D rectilinear motion example covered in lectures however, we aredealing with a 2D coordinate system here. Thus, we will need toperform our analysis in each of the x and y-coordinates separatelyto determine the velocity of the ball after impact with theground.

Question 4. By considering conservation of momentum and thecoefficient of restitution, calculate: (a) The velocity vector ofthe ball after impact with the ground.

(b) The magnitude of the ball’s velocity after impact with theground.

Hint: The velocity of the ground remains 0 [m/s] before andafter impact, and you may assume that the impact dominantly affectsthe vertical speed of the ball.