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The winch cable on a tow truck shown in Figure 1 is subjected to a force T. The truck has a total mass of 5 Mg and a ce...
29. The pick-up truck in the figure has a mass of 1800 kg and is being towed by a cable supplying a horizontal force. T...
29. The pick-up truck in the figure has a mass of 1800 kg and is being towed by a cable supplying a horizontal force. The truck is being accelerated at a rate of 2 m/s- to the left. The truck is not in gear, so all wheels are rolling freely without friction. All dimensions in m 0.3 0.6 2.3 (a) Draw a clear free body diagram of the truck. (b) Calculate the tension, T, in the towing cable. (c) Calculate...
Q3. The truck carries a 1500mm diameter spool of cable with a mass of 0.75kg per meter of length. There are 150 turns on the full spool. The empty spool has a mass of 140kg with radius of gyration of...
Q3. The truck carries a 1500mm diameter spool of cable with a mass of 0.75kg per meter of length. There are 150 turns on the full spool. The empty spool has a mass of 140kg with radius of gyration of 530mm. The truck alone has a mass of 2030kg with mass center at G. If the truck starts from rest with an initial acceleration of 1.96m/s2. Determine, (a) The tension T in the cable where it attaches to the wall,...
Question 3 A turnbuckle (Figure Q3) is tightened until the tension T in the cable AB...
Question 3 A turnbuckle (Figure Q3) is tightened until the tension T in the cable AB is 2.4 kN. 2 m 0.8 m Figure Q3: Turnbuckle and cable. Write down the coordinates (in metres relative to the origin) of the points labelled O, A and B. (a) [2 Marks] (b) Express the tension T in terms of the Cartesian component vectors Lj and A 3 Marks] (c) Determine the moment Mo about the base O of the cable force acting...
The 3.5-Mg pickup truck is towing the 2.0-Mg car using a cable as shown. (Figure 1)...
The 3.5-Mg pickup truck is towing the 2.0-Mg car using a cable as shown. (Figure 1) Figure < 1 of 1 > 30 km/h Part A If the car is initially at rest and the truck is coasting with a velocity of 30 km/h when the cable is si just after the cable becomes taut. Express your answer to three significant figures and include the appropriate units. m v2 = 5.30 S Submit Previous Answers ✓ Correct Part B elocity...
The car shown in the figure has mass m(this includes the mass of the wheels). The wheels have radius r, mass mw, and m...
The car shown in the figure has mass m(this includes
the mass of the wheels). The wheels have radius r, mass
mw, and moment of inertia
I=kmwr2. Assume that the axles
apply the same torque ? to all four wheels. For
simplicity, also assume that the weight is distributed uniformly so
that all the wheels experience the same normal reaction from the
ground, and so the same frictional force.
Part A
If there is no slipping, a frictional force must...
The jet aircraft has a total mass of 25 Mg and a center of mass at...
The jet aircraft has a total mass of 25 Mg and a center of mass at G. Initially at take-off the engines provide a thrust 2T = 6 kN and T' = 1.9 kN. Neglect the mass of the wheels and, due to low velocity, neglect any lift caused by the wings. (Figure 1) Part A Determine the magnitude of the acceleration of the plane. Express your answer to three significant figures and include the appropriate units. ag= 0.3162 Submit...
Figure 5 shows a pick-up truck of a total mass mi transporting a small cart of a mass m2. The sma...
Figure 5 shows a pick-up truck of a total mass mi transporting a small cart of a mass m2. The small cart is hitched through two springs of axial stiffness k each to the truck (b) body. Absolute displacement of the truck is xi while that of the cart is x2 (i) Find the relative motion (n-m) of the cart when the truck is subjected to a (7 marks) Find the natural frequencies and mode shapes of this two-degree-of-freedom harmonic...
The jet aircraft has a total mass of 23 Mg and a center of mass at...
The jet aircraft has a total mass of 23 Mg and a center of mass at G. Initially at take-off the engines provide a thrust 2T = 6 kN and T' = 2.5 kN. Neglect the mass of the wheels and, due to low velocity, neglect any lift caused by the wings. (Figure 1) Part A Determine the magnitude of the acceleration of the plane. Express your answer to three significant figures and include the appropriate units. i o ?...
12. A truck carrying a load of 9 kN has a mass of 450 kg. The...
12. A truck carrying a load of 9 kN has a mass of 450 kg. The driving wheels are 1.066 m in diameter. The total coefficient of air and road resistance is 0.22. The gear ratio and efficiencies are e = 8:1, 1-92% for the transmission and e = 5:1, n=95% for the differential, respectively. T e-8:1, 7-92% I Engine e-5:1, n=95% Differential Transmission Address the following: a) compute the total tracking force (N) b) compute the wheel rotational speed...
The beam shown (Figure 1) is supported by a pin at A and a cable at...
The beam shown (Figure 1) is
supported by a pin at A and a cable at B. Two
loads P = 13 kN are applied straight down from the
centerline of the bottom face. Determine the state of stress at the
point shown (Figure 2) in a section 2 m from the wall. The
dimensions are w = 5.2 cm , h = 10.5 cm ,
L = 0.8 m , a = 1.5 cm , and b = 4...
29. The pick-up truck in the figure has a mass of 1800 kg and is being towed by a cable supplying a horizontal force. The truck is being accelerated at a rate of 2 m/s- to the left. The truck is not in gear, so all wheels are rolling freely without friction. All dimensions in m 0.3 0.6 2.3 (a) Draw a clear free body diagram of the truck. (b) Calculate the tension, T, in the towing cable. (c) Calculate...
Q3. The truck carries a 1500mm diameter spool of cable with a mass of 0.75kg per meter of length. There are 150 turns on the full spool. The empty spool has a mass of 140kg with radius of gyration of 530mm. The truck alone has a mass of 2030kg with mass center at G. If the truck starts from rest with an initial acceleration of 1.96m/s2. Determine, (a) The tension T in the cable where it attaches to the wall,...
Question 3 A turnbuckle (Figure Q3) is tightened until the tension T in the cable AB is 2.4 kN. 2 m 0.8 m Figure Q3: Turnbuckle and cable. Write down the coordinates (in metres relative to the origin) of the points labelled O, A and B. (a) [2 Marks] (b) Express the tension T in terms of the Cartesian component vectors Lj and A 3 Marks] (c) Determine the moment Mo about the base O of the cable force acting...
The 3.5-Mg pickup truck is towing the 2.0-Mg car using a cable as shown. (Figure 1) Figure < 1 of 1 > 30 km/h Part A If the car is initially at rest and the truck is coasting with a velocity of 30 km/h when the cable is si just after the cable becomes taut. Express your answer to three significant figures and include the appropriate units. m v2 = 5.30 S Submit Previous Answers ✓ Correct Part B elocity...
The car shown in the figure has mass m(this includes
the mass of the wheels). The wheels have radius r, mass
mw, and moment of inertia
I=kmwr2. Assume that the axles
apply the same torque ? to all four wheels. For
simplicity, also assume that the weight is distributed uniformly so
that all the wheels experience the same normal reaction from the
ground, and so the same frictional force.
Part A
If there is no slipping, a frictional force must...
The jet aircraft has a total mass of 25 Mg and a center of mass at G. Initially at take-off the engines provide a thrust 2T = 6 kN and T' = 1.9 kN. Neglect the mass of the wheels and, due to low velocity, neglect any lift caused by the wings. (Figure 1) Part A Determine the magnitude of the acceleration of the plane. Express your answer to three significant figures and include the appropriate units. ag= 0.3162 Submit...
Figure 5 shows a pick-up truck of a total mass mi transporting a small cart of a mass m2. The small cart is hitched through two springs of axial stiffness k each to the truck (b) body. Absolute displacement of the truck is xi while that of the cart is x2 (i) Find the relative motion (n-m) of the cart when the truck is subjected to a (7 marks) Find the natural frequencies and mode shapes of this two-degree-of-freedom harmonic...
The jet aircraft has a total mass of 23 Mg and a center of mass at G. Initially at take-off the engines provide a thrust 2T = 6 kN and T' = 2.5 kN. Neglect the mass of the wheels and, due to low velocity, neglect any lift caused by the wings. (Figure 1) Part A Determine the magnitude of the acceleration of the plane. Express your answer to three significant figures and include the appropriate units. i o ?...
12. A truck carrying a load of 9 kN has a mass of 450 kg. The driving wheels are 1.066 m in diameter. The total coefficient of air and road resistance is 0.22. The gear ratio and efficiencies are e = 8:1, 1-92% for the transmission and e = 5:1, n=95% for the differential, respectively. T e-8:1, 7-92% I Engine e-5:1, n=95% Differential Transmission Address the following: a) compute the total tracking force (N) b) compute the wheel rotational speed...
The beam shown (Figure 1) is
supported by a pin at A and a cable at B. Two
loads P = 13 kN are applied straight down from the
centerline of the bottom face. Determine the state of stress at the
point shown (Figure 2) in a section 2 m from the wall. The
dimensions are w = 5.2 cm , h = 10.5 cm ,
L = 0.8 m , a = 1.5 cm , and b = 4...
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