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Figure P3.34 A slender rod 1.4 m long and of mass 20 kg is attached to...
Problem 3.35 (6 points) Figure P3.34 A slender rod 1.4 m long and of mass 20 kg is attached to a ...
part a and b only first paragraph already done (theta)
Problem 3.35 (6 points) Figure P3.34 A slender rod 1.4 m long and of mass 20 kg is attached to a wheel of mass 3 kgP and radius 0.05 m, as shown in Figure P3.34. A horizontal force f is applied to the wheel axle. Derive the equations of motion in terms of angular displacement θ of the rod and displacement-V,ofthe wheel center Assume the wheel does not slip. Linearize...
5. A slender rod (mass 1 kg, length L m) is placed vertically on a horizontal rough surface, as shown. The upper end of...
5. A slender rod (mass 1 kg, length L m) is placed vertically on a horizontal rough surface, as shown. The upper end of the rod is tapped lightly, so that it starts falling. Due to friction, its lower end does not slip. When θ 450 with respect to the vertical, show that the normal force N 3.14 N (pointed up) and that the friction force f0.64 N (pointed to the right). Justify results with appropriate diagrams, equations and calculations....
The mass of the uniform slender steel rod, shown in Figure 2, is 3 kg. The...
The mass of the uniform slender steel rod, shown in Figure 2, is 3 kg. The system is set in motion with small oscillations about the horizontal equilibrium position shown. (i) Determine the position x for the slider such that the system period is 1 s. (ii) When the pivot is replaced by a built-in support that restricts any rotation at O and the spring is moved to the right-hand end with the 1.2 kg mass removed, calculate the frequency...
ke Slender bar of mass m As shown in Figure 1, a uniform slender bar with...
ke Slender bar of mass m As shown in Figure 1, a uniform slender bar with mass m and length L is supported by a vertical spring at its right end while a mass block 2m suspended from its left end through a spring is supported by another spring. All these three vertical springs have the same stiffness k. If the downward vertical displacement x of the mass block and the clockwise rotation angle 8 of the bar are assumed...
44. The system shown in Fig. P7 consists of a slider block of mass m2 and a uniform slender rod of mass m3, length 13, and mass moment of inertia about its center of mass J The slider block is connec...
44. The system shown in Fig. P7 consists of a slider block of mass m2 and a uniform slender rod of mass m3, length 13, and mass moment of inertia about its center of mass J The slider block is connected to the ground by a spring that has a stiffness coefficient k. The slider block is subjected to the force F(t), while the rod is subjected to the moment M. Obtain the differential equations of motion of this two-degree-of-freedom...
1. A slender rod of mass 0.5 kg and length 0.8 m is released from rest...
1. A slender rod of mass 0.5 kg and length 0.8 m is released from rest in the position shown. The coefficients of kinetic and static friction between the surface and the rod are Ilk = 0.11, and is = 0.2. Determine whether the rod will slip on the horizontal surface. 300
A particle of mass m is attached to one end of a light slender rod which...
A particle of mass m is attached to one end of a light slender rod which pivots about a horizontal axis through point O. The spring constant k-200 N/m and the distance b-200 mm. If the system is released from rest in the horizontal position shown where the spring is unstretched, the bar is observed to deflect a maximum of 30° clockwise. Determine (a) the particle mass m and (b) the particle speed v after a displacement of 15° from...
The long, slender rod (1 = 1/12ml^2) has a mass of 8 kg and a length...
The long, slender rod (1 = 1/12ml^2) has a mass of 8 kg and a length of 10 m. The disc attached (I=1/2mr^2) has a mass of 4 kg and a radius of 2m. A 200 N force is applied at the point of the red arrow (6 m from point of rotation -blue triangle. The force remains perpendicular during application. The blue triangle is located 2 m from the left edge of the rod. Angular impulse is described as...
dynamics Part AL The 20-kg uniform slender rod is suspended at rest when the force of...
dynamics Part AL The 20-kg uniform slender rod is suspended at rest when the force of F = 150 N is applied to its end. The force is always perpendicular to the rod. (Figure 1) Figure 1 of 1
A slender rod is 80.0 cm long and has mass 0.390 kg . A small 0.0200-kg...
A slender rod is 80.0 cm long and has mass 0.390 kg . A small 0.0200-kg sphere is welded to one end of the rod, and a small 0.0500-kg sphere is welded to the other end. The rod, pivoting about a stationary, frictionless axis at its center, is held horizontal and released from rest. What is the linear speed of the 0.0500-kg sphere as its passes through its lowest point?
part a and b only first paragraph already done (theta)
Problem 3.35 (6 points) Figure P3.34 A slender rod 1.4 m long and of mass 20 kg is attached to a wheel of mass 3 kgP and radius 0.05 m, as shown in Figure P3.34. A horizontal force f is applied to the wheel axle. Derive the equations of motion in terms of angular displacement θ of the rod and displacement-V,ofthe wheel center Assume the wheel does not slip. Linearize...
5. A slender rod (mass 1 kg, length L m) is placed vertically on a horizontal rough surface, as shown. The upper end of the rod is tapped lightly, so that it starts falling. Due to friction, its lower end does not slip. When θ 450 with respect to the vertical, show that the normal force N 3.14 N (pointed up) and that the friction force f0.64 N (pointed to the right). Justify results with appropriate diagrams, equations and calculations....
The mass of the uniform slender steel rod, shown in Figure 2, is 3 kg. The system is set in motion with small oscillations about the horizontal equilibrium position shown. (i) Determine the position x for the slider such that the system period is 1 s. (ii) When the pivot is replaced by a built-in support that restricts any rotation at O and the spring is moved to the right-hand end with the 1.2 kg mass removed, calculate the frequency...
ke Slender bar of mass m As shown in Figure 1, a uniform slender bar with mass m and length L is supported by a vertical spring at its right end while a mass block 2m suspended from its left end through a spring is supported by another spring. All these three vertical springs have the same stiffness k. If the downward vertical displacement x of the mass block and the clockwise rotation angle 8 of the bar are assumed...
44. The system shown in Fig. P7 consists of a slider block of mass m2 and a uniform slender rod of mass m3, length 13, and mass moment of inertia about its center of mass J The slider block is connected to the ground by a spring that has a stiffness coefficient k. The slider block is subjected to the force F(t), while the rod is subjected to the moment M. Obtain the differential equations of motion of this two-degree-of-freedom...
1. A slender rod of mass 0.5 kg and length 0.8 m is released from rest in the position shown. The coefficients of kinetic and static friction between the surface and the rod are Ilk = 0.11, and is = 0.2. Determine whether the rod will slip on the horizontal surface. 300
A particle of mass m is attached to one end of a light slender rod which pivots about a horizontal axis through point O. The spring constant k-200 N/m and the distance b-200 mm. If the system is released from rest in the horizontal position shown where the spring is unstretched, the bar is observed to deflect a maximum of 30° clockwise. Determine (a) the particle mass m and (b) the particle speed v after a displacement of 15° from...
The long, slender rod (1 = 1/12ml^2) has a mass of 8 kg and a length of 10 m. The disc attached (I=1/2mr^2) has a mass of 4 kg and a radius of 2m. A 200 N force is applied at the point of the red arrow (6 m from point of rotation -blue triangle. The force remains perpendicular during application. The blue triangle is located 2 m from the left edge of the rod. Angular impulse is described as...
dynamics Part AL The 20-kg uniform slender rod is suspended at rest when the force of F = 150 N is applied to its end. The force is always perpendicular to the rod. (Figure 1) Figure 1 of 1
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