diff options
Diffstat (limited to '3845/CH10')
| -rw-r--r-- | 3845/CH10/EX10.1/Ex10_1.sce | 12 | ||||
| -rw-r--r-- | 3845/CH10/EX10.10/Ex10_10.sce | 9 | ||||
| -rw-r--r-- | 3845/CH10/EX10.11/Ex10_11.sce | 11 | ||||
| -rw-r--r-- | 3845/CH10/EX10.12/Ex10_12.sce | 14 | ||||
| -rw-r--r-- | 3845/CH10/EX10.13/Ex10_13.sce | 14 | ||||
| -rw-r--r-- | 3845/CH10/EX10.14/Ex10_14.sce | 14 | ||||
| -rw-r--r-- | 3845/CH10/EX10.15/Ex10_15.sce | 19 | ||||
| -rw-r--r-- | 3845/CH10/EX10.2/Ex10_2.sce | 9 | ||||
| -rw-r--r-- | 3845/CH10/EX10.3/Ex10_3.sce | 17 | ||||
| -rw-r--r-- | 3845/CH10/EX10.4/Ex10_4.sce | 8 | ||||
| -rw-r--r-- | 3845/CH10/EX10.5/Ex10_5.sce | 15 | ||||
| -rw-r--r-- | 3845/CH10/EX10.6/Ex10_6.sce | 12 | ||||
| -rw-r--r-- | 3845/CH10/EX10.7/Ex10_7.sce | 17 | ||||
| -rw-r--r-- | 3845/CH10/EX10.8/Ex10_8.sce | 17 | ||||
| -rw-r--r-- | 3845/CH10/EX10.9/Ex10_9.sce | 18 |
15 files changed, 206 insertions, 0 deletions
diff --git a/3845/CH10/EX10.1/Ex10_1.sce b/3845/CH10/EX10.1/Ex10_1.sce new file mode 100644 index 000000000..a47665a1c --- /dev/null +++ b/3845/CH10/EX10.1/Ex10_1.sce @@ -0,0 +1,12 @@ +//Example 10.1
+delta_omega=250;//Angular velocity (rpm)
+delta_omega=250*2*%pi/60;//Angular velocity (rad/s)
+delta_t=5.00;//Time taken (s)
+alpha=delta_omega/delta_t;//Angular acceleration (rad/s^2)
+printf('a.Angular acceleration = %0.2f rad/s^2',alpha)
+delta_omega_b=-delta_omega;//Angular velocity (rad/s)
+alpha_b=-87.3;//Angular acceleration (rad/s^2)
+delta_t_b=delta_omega_b/alpha_b;//Time taken (s)
+printf('\nb.Time taken for the wheel to stop = %0.3f s',delta_t_b)
+//Openstax - College Physics
+//Download for free at http://cnx.org/content/col11406/latest
diff --git a/3845/CH10/EX10.10/Ex10_10.sce b/3845/CH10/EX10.10/Ex10_10.sce new file mode 100644 index 000000000..1c4835a59 --- /dev/null +++ b/3845/CH10/EX10.10/Ex10_10.sce @@ -0,0 +1,9 @@ +//Example 10.10
+m=0.75;//Mass of the cylinder (kg)
+h=2;//Height of incline (m)
+R=4*10^-2;//Radius of cylinder (m)
+g=9.8;//Acceleration due to gravity (m/s)
+v=sqrt((m*g*h)/[(1/2*m)+(1/2*1/2*m*R^2/R^2)]);//Final velocity, See Equation 10.86 (m/s)
+printf('Final speed = %0.2f m/s',v)
+//Openstax - College Physics
+//Download for free at http://cnx.org/content/col11406/latest
diff --git a/3845/CH10/EX10.11/Ex10_11.sce b/3845/CH10/EX10.11/Ex10_11.sce new file mode 100644 index 000000000..154d06f16 --- /dev/null +++ b/3845/CH10/EX10.11/Ex10_11.sce @@ -0,0 +1,11 @@ +//Example 10.11
+M=5.979*10^24;//Mass of the Earth (kg)
+R=6.376*10^6;//Radius of the Earth (m)
+I=2*M*R^2/5;//Moment of inertia (sphere) (kg.m^2)
+omega=1;//Angular velocity (rev/day)
+omega=1*2*%pi/(8.64*10^4);//Angular velocity (rad/s)
+//There are 8.64*10^4 seconds in a day
+L=I*omega;//Angular momentum (kg.m^2/s)
+printf('Angular momentum of the Earth = %0.2e kg.m^2/s',L)
+//Openstax - College Physics
+//Download for free at http://cnx.org/content/col11406/latest
diff --git a/3845/CH10/EX10.12/Ex10_12.sce b/3845/CH10/EX10.12/Ex10_12.sce new file mode 100644 index 000000000..1fc384520 --- /dev/null +++ b/3845/CH10/EX10.12/Ex10_12.sce @@ -0,0 +1,14 @@ +//Example 10.12
+F=2.5;//Force (N)
+r=0.26;//Radius of the lazy Susan tray (m)
+net_tau=r*F;//Net torque (N.m)
+delta_t=0.15;//Time (s)
+delta_L=net_tau*delta_t;//Change in angular momentum (kg.m^2/s)
+L=delta_L;//Final angular momentum since initial angular momentum is zero (kg.m^2/s)
+printf('a.Final angular momentum = %0.2e kg.m^2/s',L)
+M=4;//Mass of the lazy Susan (kg)
+I=1/2*M*r^2;//Moment of inertia (kg.m^2)
+omega=L/I;//Angular velocity (rad/s)
+printf('\nb.Final angular velocity = %0.3f rad/s',omega)
+//Openstax - College Physics
+//Download for free at http://cnx.org/content/col11406/latest
diff --git a/3845/CH10/EX10.13/Ex10_13.sce b/3845/CH10/EX10.13/Ex10_13.sce new file mode 100644 index 000000000..c7951dcb8 --- /dev/null +++ b/3845/CH10/EX10.13/Ex10_13.sce @@ -0,0 +1,14 @@ +//Example 10.13
+F=2000;//Force exerted (N)
+r=2.20*10^-2;//Lever arm (m)
+net_tau=r*F;//Net torque (N.m)
+I=1.25;//Moment of inertia (kg.m^2)
+alpha=net_tau/I;//Angular acceleration (rad/s^2)
+printf('a.Angular acceleration of the leg =%0.1f rad/s^2',alpha)
+theta=1;//Angular displacement (rad)
+omega_0=0;//Initial angular velocity (rad/s)
+omega=sqrt(omega_0^2+2*alpha*theta);//Final angular velocity (rad/s)
+KE_rot=(1/2)*I*omega^2;//Rotational kinetic energy (J)
+printf('\nb.Rotational kinetic energy of the leg = %0.1f J',KE_rot)
+//Openstax - College Physics
+//Download for free at http://cnx.org/content/col11406/latest
diff --git a/3845/CH10/EX10.14/Ex10_14.sce b/3845/CH10/EX10.14/Ex10_14.sce new file mode 100644 index 000000000..6dd3dffa2 --- /dev/null +++ b/3845/CH10/EX10.14/Ex10_14.sce @@ -0,0 +1,14 @@ +//Example 10.14
+omega=0.8;//Angular velocity (rev/s)
+I=2.34;//Moment of inertia when arms are extended (kg.m^2)
+I_prime=0.363;//Moment of inertia when arms are close to the body (kg.m^2)
+m=60;//Mas of the skater (kg)
+omega_prime=I/I_prime*omega;//Angular velocity when arms are pulled in (rev/s)
+printf('a.Angular velocity when arms are pulled in = %0.2f rev/s',omega_prime)
+KE_rot=(1/2)*I*(omega*2*%pi)^2;//Rotational kinetic energy when arms are extended (J), also convert omega to units of rad/s
+printf('\nb.Initial rotational kinetic energy (extended arms) = %0.1f J',KE_rot)
+KE_rot_prime=(1/2)*I_prime*(omega_prime*2*%pi)^2;//Rotational kinetic energy when arms are pulled in (J), also convert omega to units of rad/s
+printf('\n Final rotational kinetic energy (arms pulled in) = %0.1f J',KE_rot_prime)
+//Answer varies due to round off error
+//Openstax - College Physics
+//Download for free at http://cnx.org/content/col11406/latest
diff --git a/3845/CH10/EX10.15/Ex10_15.sce b/3845/CH10/EX10.15/Ex10_15.sce new file mode 100644 index 000000000..ccaeda1af --- /dev/null +++ b/3845/CH10/EX10.15/Ex10_15.sce @@ -0,0 +1,19 @@ +//Example 10.15
+m=50*10^-3;//Mass of the disc (kg)
+v=30;//Initial velocity of the disc (m/s)
+M=2;//Mass of the stick (kg)
+r=1.2;//Length of the stick (m)
+I_prime=(m+M/3)*r^2;//Moment of inertia of the stick and disc stuck together, See Equation 10.128 (kg.m^2)
+omega_prime=m*v*r/I_prime;//Angular velocity (rad/s)
+printf('a.Angular velocity of the two (stick and disc) after collision = %0.2f rad/s',omega_prime)
+KE=(1/2)*m*v^2;//Initial kinetic energy (translational) (J)
+printf('\nb.Initial kinetic energy = %0.1f J',KE)
+KE_prime=(1/2)*I_prime*omega_prime^2;//Final kinetic energy (rotational) (J)
+printf('\n Final kinetic energy = %0.2f J',KE_prime)
+p=m*v;//Linear momentum before collision (kg.m/s)
+printf('\nc.Total linear momentum before collision = %0.2f kg.m/s',p)
+v_prime=r*omega_prime;//New velocity of the disk (m/s)
+p_prime=(m+M/2)*v_prime;//Linear momentum after collision (kg.m/s)
+printf('\n Total linear momentum after collision = %0.2f kg.m/s',p_prime)
+//Openstax - College Physics
+//Download for free at http://cnx.org/content/col11406/latest
diff --git a/3845/CH10/EX10.2/Ex10_2.sce b/3845/CH10/EX10.2/Ex10_2.sce new file mode 100644 index 000000000..d85ca0ecb --- /dev/null +++ b/3845/CH10/EX10.2/Ex10_2.sce @@ -0,0 +1,9 @@ +//Example 10.2
+delta_v=30;//Change in velocity (m/s)
+delta_t=4.20;//Time taken (s)
+a_t=delta_v/delta_t;//Linear acceleration (m/s^2)
+r=0.320;//Radius of wheel (m)
+alpha=a_t/r;//Angular acceleration (rad/s^2)
+printf('Angular acceleration of the wheel = %0.1f rad/s^2',alpha)
+//Openstax - College Physics
+//Download for free at http://cnx.org/content/col11406/latest
diff --git a/3845/CH10/EX10.3/Ex10_3.sce b/3845/CH10/EX10.3/Ex10_3.sce new file mode 100644 index 000000000..1ba6d80b9 --- /dev/null +++ b/3845/CH10/EX10.3/Ex10_3.sce @@ -0,0 +1,17 @@ +//Example 10.3
+omega_0=0;//Initial angular velocity (rad/s)
+alpha=110;//Angular acceleration (rad/s^2)
+t=2;//Time (s)
+r=4.50*10^-2//Radius of reel (m)
+omega=omega_0+alpha*t;//Final angular velocity (rad/s)
+printf('a.Final angular velocity = %0.1f rad/s',omega)
+v=r*omega;//Speed of fishing line (m/s)
+printf('\nb.Speed of fishing line leaving the reel after 2.00s = %0.2f m/s',v)
+theta=omega_0+1/2*alpha*t^2;//Angle taken through (rad)
+theta1=theta/(2*%pi);//Revolutions (rev)
+printf('\nc.Number of revolutions made by the reel = %0.1f rev',theta1)
+x=r*theta;//Length of fishing line (m)
+printf('\nd.Length of fishing line that comes out of the reel in this duration = %0.2f m',x)
+//Openstax - College Physics
+//Download for free at http://cnx.org/content/col11406/latest
+
diff --git a/3845/CH10/EX10.4/Ex10_4.sce b/3845/CH10/EX10.4/Ex10_4.sce new file mode 100644 index 000000000..0ed8fd797 --- /dev/null +++ b/3845/CH10/EX10.4/Ex10_4.sce @@ -0,0 +1,8 @@ +//Example 10.4
+omega_0=220;//Initial angular velocity (rad/s)
+omega=0;//Final angular velocity (rad/s)
+alpha=-300;//Angular acceleration (rad/s^2)
+t=(omega-omega_0)/alpha;//Time (s)
+printf('Time taken for the reel to stop spinning = %0.3f s',t)
+//Openstax - College Physics
+//Download for free at http://cnx.org/content/col11406/latest
diff --git a/3845/CH10/EX10.5/Ex10_5.sce b/3845/CH10/EX10.5/Ex10_5.sce new file mode 100644 index 000000000..40969df9e --- /dev/null +++ b/3845/CH10/EX10.5/Ex10_5.sce @@ -0,0 +1,15 @@ +//Example 10.5
+r=0.350;//Radius of wheel (m)
+alpha=0.250;//Angular acceleration (rad/s^2)
+theta=200;//Revolutions (rev)
+theta=theta*2*%pi;//Angle taken through (rad)
+x=r*theta;//Distance (m)
+printf('a.Distance the train has moved = %0.1f',x)
+omega_0=0;//Initial angular velocity (rad/s)
+omega=sqrt(omega_0^2+2*alpha*theta)//Final angular velocity (rad/s)
+printf('\nb.Final angular velocity of the wheels= %0.1f rad/s',omega)
+v=r*omega;//Linear velocity of the train (m/s)
+printf('\n Linear velocity of the train = %0.2f m/s',v)
+//Answer varies due to round off error
+//Openstax - College Physics
+//Download for free at http://cnx.org/content/col11406/latest
diff --git a/3845/CH10/EX10.6/Ex10_6.sce b/3845/CH10/EX10.6/Ex10_6.sce new file mode 100644 index 000000000..74d5b7eb1 --- /dev/null +++ b/3845/CH10/EX10.6/Ex10_6.sce @@ -0,0 +1,12 @@ +//Example 10.6
+omega=6.0;//Angular velocity (rpm)
+t=2;//Time (min)
+r=0.15;//Radius of plate (m)
+theta=omega*t;//Revolutions (rev)
+theta=theta*2*%pi;//Angle taken through (rad)
+x=r*theta;//Distance travelled (m)
+printf('Distance travelled by the fly = %0.2f m',x)
+//Answer varies due to round off error
+//Openstax - College Physics
+//Download for free at http://cnx.org/content/col11406/latest
+
diff --git a/3845/CH10/EX10.7/Ex10_7.sce b/3845/CH10/EX10.7/Ex10_7.sce new file mode 100644 index 000000000..08d651f08 --- /dev/null +++ b/3845/CH10/EX10.7/Ex10_7.sce @@ -0,0 +1,17 @@ +//Example 10.7
+M=50;//Mass of the merry-go-round (kg)
+R=1.50;//Radius of the merry-go-round (m)
+F=250;//Force exerted (N)
+theta=90;//Angle (deg)
+tau=R*F*sind(theta);//Torque (N.m)
+I=1/2*M*R^2;//Moment of inertia (kg.m^2)
+alpha1=tau/I;//Angular acceleration (rad/s^2)
+printf('a.Angular acceleration when no one is on the merry-go-round = %0.2f rad/s^2',alpha1)
+M1=18;//Mass of the child (kg)
+R1=1.25;//Distance of child from the center (m)
+I_c=M1*R1^2;//Moment of inertia of the child (kg.m^2)
+I=I_c+I;//Total moment of inertia (kg.m^2)
+alpha2=tau/I;//Angular acceleration (rad/s^2)
+printf('\nb.Angular acceleration when the child is on the merry-go-round = %0.2f rad/s^2',alpha2)
+//Openstax - College Physics
+//Download for free at http://cnx.org/content/col11406/latest
diff --git a/3845/CH10/EX10.8/Ex10_8.sce b/3845/CH10/EX10.8/Ex10_8.sce new file mode 100644 index 000000000..1722a01d4 --- /dev/null +++ b/3845/CH10/EX10.8/Ex10_8.sce @@ -0,0 +1,17 @@ +//Example 10.8
+r=0.320;//Radius of grindstone
+F=200;//Force exerted (N)
+theta=1;//Angle taken through (rad)
+net_tau=r*F;//Net torque (N.m)
+net_W=net_tau*theta;//Net work (J)
+printf('a.Net work done = %0.1f J',net_W)
+M=85;//Mass of grindstone (kg)
+omega_0=0;//Initial angular velocity (rad/s)
+I=1/2*M*r^2;//Moment of inertia (kg.m^2)
+alpha=net_tau/I;//Angular acceleration (rad/s^2)
+omega=sqrt(omega_0^2+2*alpha*theta);//Final angular velocity (rad/s)
+printf('\nb.Final angular velocity = %0.2f rad/s',omega)
+KE_rot=1/2*I*omega^2;//Rotational kinetic energy (J)
+printf('\nc.Final rotational kinetic energy = %0.1f J',KE_rot)
+//Openstax - College Physics
+//Download for free at http://cnx.org/content/col11406/latest
diff --git a/3845/CH10/EX10.9/Ex10_9.sce b/3845/CH10/EX10.9/Ex10_9.sce new file mode 100644 index 000000000..c4bd43544 --- /dev/null +++ b/3845/CH10/EX10.9/Ex10_9.sce @@ -0,0 +1,18 @@ +//Example 10.9
+l=4;//Length of each blade (m)
+M=50;//Mass of each blade (kg)
+omega=300;//Angular velocity (rpm)
+omega=omega*2*%pi/60;//Angular velocity (rad/s)
+I=4*M*l^2/3;//Moment of inertia (kg/m^2)
+KE_rot=(1/2)*I*omega^2;//Rotational kinetic energy (J)
+printf('a.Rotational kinetic energy = %0.2e J',KE_rot)
+v=20;//Flight velocity (m/s)
+m=1000;//Total loaded mass of the helicopter (kg)
+KE_trans=(1/2)*m*v^2;//Translational kinetic energy (J)
+printf('\nb.Translational kinetic energy = %0.2e J',KE_trans)
+printf('\n Ratio of translational kinetic energy to rotational kinetic energy = %0.3f',KE_trans/KE_rot)
+g=9.8;//Acceleration due to gravity (m/s^2)
+h=(1/2)*I*omega^2/(m*g);//Maximum height (m)
+printf('\nc.Maximum height = %0.1f m',h)
+//Openstax - College Physics
+//Download for free at http://cnx.org/content/col11406/latest
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