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Problem 6: For the system shown below, a torque Ta(t) is applied to the cylinder Λ. iven ,Gear-Ra...
i want to get part c,d The figure below is a gear-train mechanical system driven by...
i want to get part c,d
The figure below is a gear-train mechanical system driven by a prescribed motion in the form of an angular displacement y(t). The motion is caused by an applied torque T(t) generated by a motor. The mass moment of inertias of the motor and the driving gear are J and J, respectively, whereas the mass moment of inertias of the load and the driven gear are J, and J2, respectively. The radii and angular displacements...
Question 3) Consider the mechanical system shown in figure, T(t) is the torque applied to shaft...
Question 3) Consider the mechanical system shown in figure, T(t) is the torque applied to shaft 1 and z(t) is the rotation of shaft 2. J.Jz and Jz are the inertias of shafts 1,2 and 3 respectively, N,,N,N, and N, are the number of teeths of the gears,, D1, D, and D3 are the coefficient of viscous damping associated with shafts 1, 2 and 3 respectively, K is the spring constant of the torsional spring attached to shaft 3. Write...
60 min 30 mm 2. Problem #2: (30 points) A torque T = 3kN-m is applied...
60 min 30 mm 2. Problem #2: (30 points) A torque T = 3kN-m is applied to the solid bronze (G=3000ksi) cylinder shown. Determine: (a) (10 points) The maximum shear stress. Polar moment of inertia is given by formula: J = #D/32, where Dis the diameter of the cylinder. (b) (10 points) The shear stress at point D, which lies on a 15-mm radius circle drawn on the end of the cylinder. (c) (5 points) Sketch the shear stress distribution...
a = 3 signals and systems 1) [10 pts. Let a system be defined as ta...
a = 3
signals and systems
1) [10 pts. Let a system be defined as ta y(t) x(31 - 2a)dt 2a Is this system b) No b) No b) No vii) memoryless? a) Yes viii) Linear? a) Yes ix) Time invariant? a) Yes x) Causal? a) Yes xi) BIBO stable? a) Yes 2) [5 pts. What is the impulse response h(t)? 3) [10 pts.] Let a signal in s domain b) No b) No 2 Y(S) Sa What is the...
For the system shown in Figure 1, a step torque is applied at 0,(t). (a) Develop...
For the system shown in Figure 1, a step torque is applied at 0,(t). (a) Develop the transfer function, G(s) e2(S) T(s) (b) Find the percent overshoot, settling time, and peak time for 2(t). T(t) 0,(t) 02(t) 1.07 kg-m2 I Oooo 1.53 N-m-s/rad 1.92 N-m/rad Figure 1
12 • 171 T- (6) Figure 1 (b) Consider the interconnection of the LTI systems shown...
12 • 171 T- (6) Figure 1 (b) Consider the interconnection of the LTI systems shown in Figure 2 below. (1) Find the impulse response h[n] of the total system. (ii) Determine and sketch the total impulse response h[n] if ht[n]= 8[n-1], h2[n] = 3u[n+4], h3[n] = -3u[n-2], and he[n] = 8[n+4]. xin that the syn] - Paragraph -
Consider the mechanical dynamics of a 2DOF rotary motion system shown below, where the torque is...
Consider the mechanical dynamics of a 2DOF rotary motion system shown below, where the torque is applied to the right shaft but the angular position of the left shaft is to be controlled, k is the stiffness of the linear rotary spring and bi, b2 are the viscous friction coefficients of the ball bearings that support the left and right shafts respectively and act as linear viscous dampers with rotary motion. PLEASE show all mathematical steps explicitly. (I1=Iz=1kgm², bi=b2=0.9Nms/rad, k=4Nm/rad)...
A transfer shaft with two spur gears shown below: Input Gear 1 Output Gear Torque Bearing...
A transfer shaft with two spur gears shown below: Input Gear 1 Output Gear Torque Bearing 1 Gear 1 Gear 2 Bearing 2 B OTO 4" 4" 4" 4 . . Weight Ibf Teeth number Pressure angle Po (diametric pitch) teeth/in Gear A 50 20° 6 Gear C 2 25 20° 6 Deep groove ball bearings at B and D. Pitch diameter of the gear is equal to the teeth number divided by diametric pitch. Shaft speed = 3000 rpm....
Consider the mechanical dynamics of a 2DOF rotary motion system shown below, where the torque is...
Consider the mechanical dynamics of a 2DOF rotary motion system shown below, where the torque is applied to the right shaft but the angular position of the left shaft is to be controlled, k is the stiffness of the linear rotary spring and b is the viscous friction coefficient of the ball bearing that supports the right shaft and acts as a linear viscous damper with rotary motion. The left shaft is only supported by the right shaft, so there...
D.C. motor is shown below, where the inductance L and the resistance R model the armature circuit. The voltage Vbrepresents the back-emf which is proportional to dθ/dt via Kf. The torque T generated b...
D.C. motor is shown below, where the inductance
L and the resistance R model the
armature circuit. The voltage
Vbrepresents the back-emf
which is proportional to dθ/dt via
Kf. The torque T
generated by the motor is proportional to the
i via a constant
Kt. In this application, let the
constants Kt =
Kf. The inertia
Jrepresents the combined inertia of the motor and
load. The viscous friction acting on the output shaft is
b. Attached to the shaft is...
i want to get part c,d
The figure below is a gear-train mechanical system driven by a prescribed motion in the form of an angular displacement y(t). The motion is caused by an applied torque T(t) generated by a motor. The mass moment of inertias of the motor and the driving gear are J and J, respectively, whereas the mass moment of inertias of the load and the driven gear are J, and J2, respectively. The radii and angular displacements...
Question 3) Consider the mechanical system shown in figure, T(t) is the torque applied to shaft 1 and z(t) is the rotation of shaft 2. J.Jz and Jz are the inertias of shafts 1,2 and 3 respectively, N,,N,N, and N, are the number of teeths of the gears,, D1, D, and D3 are the coefficient of viscous damping associated with shafts 1, 2 and 3 respectively, K is the spring constant of the torsional spring attached to shaft 3. Write...
60 min 30 mm 2. Problem #2: (30 points) A torque T = 3kN-m is applied to the solid bronze (G=3000ksi) cylinder shown. Determine: (a) (10 points) The maximum shear stress. Polar moment of inertia is given by formula: J = #D/32, where Dis the diameter of the cylinder. (b) (10 points) The shear stress at point D, which lies on a 15-mm radius circle drawn on the end of the cylinder. (c) (5 points) Sketch the shear stress distribution...
a = 3
signals and systems
1) [10 pts. Let a system be defined as ta y(t) x(31 - 2a)dt 2a Is this system b) No b) No b) No vii) memoryless? a) Yes viii) Linear? a) Yes ix) Time invariant? a) Yes x) Causal? a) Yes xi) BIBO stable? a) Yes 2) [5 pts. What is the impulse response h(t)? 3) [10 pts.] Let a signal in s domain b) No b) No 2 Y(S) Sa What is the...
For the system shown in Figure 1, a step torque is applied at 0,(t). (a) Develop the transfer function, G(s) e2(S) T(s) (b) Find the percent overshoot, settling time, and peak time for 2(t). T(t) 0,(t) 02(t) 1.07 kg-m2 I Oooo 1.53 N-m-s/rad 1.92 N-m/rad Figure 1
12 • 171 T- (6) Figure 1 (b) Consider the interconnection of the LTI systems shown in Figure 2 below. (1) Find the impulse response h[n] of the total system. (ii) Determine and sketch the total impulse response h[n] if ht[n]= 8[n-1], h2[n] = 3u[n+4], h3[n] = -3u[n-2], and he[n] = 8[n+4]. xin that the syn] - Paragraph -
Consider the mechanical dynamics of a 2DOF rotary motion system shown below, where the torque is applied to the right shaft but the angular position of the left shaft is to be controlled, k is the stiffness of the linear rotary spring and bi, b2 are the viscous friction coefficients of the ball bearings that support the left and right shafts respectively and act as linear viscous dampers with rotary motion. PLEASE show all mathematical steps explicitly. (I1=Iz=1kgm², bi=b2=0.9Nms/rad, k=4Nm/rad)...
A transfer shaft with two spur gears shown below: Input Gear 1 Output Gear Torque Bearing 1 Gear 1 Gear 2 Bearing 2 B OTO 4" 4" 4" 4 . . Weight Ibf Teeth number Pressure angle Po (diametric pitch) teeth/in Gear A 50 20° 6 Gear C 2 25 20° 6 Deep groove ball bearings at B and D. Pitch diameter of the gear is equal to the teeth number divided by diametric pitch. Shaft speed = 3000 rpm....
Consider the mechanical dynamics of a 2DOF rotary motion system shown below, where the torque is applied to the right shaft but the angular position of the left shaft is to be controlled, k is the stiffness of the linear rotary spring and b is the viscous friction coefficient of the ball bearing that supports the right shaft and acts as a linear viscous damper with rotary motion. The left shaft is only supported by the right shaft, so there...
D.C. motor is shown below, where the inductance
L and the resistance R model the
armature circuit. The voltage
Vbrepresents the back-emf
which is proportional to dθ/dt via
Kf. The torque T
generated by the motor is proportional to the
i via a constant
Kt. In this application, let the
constants Kt =
Kf. The inertia
Jrepresents the combined inertia of the motor and
load. The viscous friction acting on the output shaft is
b. Attached to the shaft is...
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