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Chapter 6, Problem 6/098 The assembly consisting of a uniform slender bar (mass 2.1 kg and...
The spring is uncompressed when the uniform slender bar is in the vertical position shown. Determine...
The spring is uncompressed when the uniform slender bar is in the vertical position shown. Determine the initial angular acceleration a of the bar when it is released from rest in a position where the bar has been rotated clockwise 33° from the position shown. Neglect any sag of the spring, whose mass is negligible. The angular acceleration is positive if counterclockwise and negative if clockwise. The mass m of the bar is 18 kg, the length / is 305...
Problem 4 A uniform slender rod of length L- 3 m and mass 2 kg rotates freely (no friction) about...
Problem 4 A uniform slender rod of length L- 3 m and mass 2 kg rotates freely (no friction) about hinge at A. Att- 0, the initial angle is B 30 and the initial angular velocity SQUARED is 4.9 rads/s in the counter-clockwise direction. a) What are the hinge reaction forces, acceleration of the center of mass, angular velocity (squared) and angular acceleration as functions of B, b) what are the hinge reaction forces, acceleration of the center of mass...
The 10 kg uniform slender bar is pinned at A to the collar, which has an upward acceleration a = 4 m/s along the vertical shaft.
The 10 kg uniform slender bar is pinned at A to the collar, which has an upward acceleration a = 4 m/s along the vertical shaft. If the bar has an angular velocity ω = 3 rad/s as it swings past the horizontal position, determine the magnitude of the reaction at A for this instant.Ans: 43.8 N
Prob. 3 A slender uniform homogeneous bar of total mass 2 kg is used to stiffen...
Prob. 3 A slender uniform homogeneous bar of total mass 2 kg is used to stiffen the 4 kg rectangular plate, as shown, along all its four sides. Determine a) The total length of the bar b) The total mass of the assembly c) Its center of mass location, G. d) determine the moment of inertia e) and radius of gyration about G. 300mm A 300mm + 400mm Prob. 4 The stiffened plate described in Prob 3 above, and supported...
The uniform slender rod contains a 4-kg uniform rod with the center of mass at point...
The uniform slender rod contains a 4-kg uniform rod with the center of mass at point G is suspended from a hinge at C. The rod is at rest in a vertical position when point B is subjected to a force of P = 75 N, and a moment M = 50 Nm, the length of the rod is 1 m and r = 0.225m. Determine the reactions at the pin C and the initial angular acceleration of the rod....
include free body diagram . [18 pts] A uniform long slender bar of mass m 6.8...
include free body diagram
. [18 pts] A uniform long slender bar of mass m 6.8 kg and length0.9 m is attached at one of its ends (A) to a horizontal rope while its other end (B) slides without friction on the floor. For the instant when the bar is released from rest in the configuration shown (where θ 45 degrees): (a) Develop expressions for a and ay, the accelerations of the bar's centre of mass in the along with...
Chapter 6, Problem 6/049 The 2.4-kg collar at C has an outer diameter of 85 mm and is press fitte...
Chapter 6, Problem 6/049 The 2.4-kg collar at C has an outer diameter of 85 mm and is press fitted to the light 60-mm-diameter shaft. Each spoke has a mass of 2.0 kg and carries a 3.6-kg sphere with a radius of 50 mm attached to its end. The pulley at D has a mass of 6.8 kg with a centroidal radius of gyration of 90 mm. If a tension T 19 N is applied to the end of the...
Please solve all parts. #3. A uniform rod B of mass mg is placed inside tube A of mass mA. Both bodies are slender rods...
Please solve all parts.
#3. A uniform rod B of mass mg is placed inside tube A of mass mA. Both bodies are slender rods, homogeneous, and of length L. Initially B is held inside A by a lightweight cap (not shown) that covers the end of tube A while the assembly is spinning freely with the angular velocity wi about the z-axis. The cap then falls off, allowing the rod to slide out of the tube. If Tube B...
The spring is uncompressed when the uniform slender bar is in the vertical position shown. Determine the initial angular acceleration a of the bar when it is released from rest in a position where the bar has been rotated clockwise 33° from the position shown. Neglect any sag of the spring, whose mass is negligible. The angular acceleration is positive if counterclockwise and negative if clockwise. The mass m of the bar is 18 kg, the length / is 305...
Problem 4 A uniform slender rod of length L- 3 m and mass 2 kg rotates freely (no friction) about hinge at A. Att- 0, the initial angle is B 30 and the initial angular velocity SQUARED is 4.9 rads/s in the counter-clockwise direction. a) What are the hinge reaction forces, acceleration of the center of mass, angular velocity (squared) and angular acceleration as functions of B, b) what are the hinge reaction forces, acceleration of the center of mass...
Prob. 3 A slender uniform homogeneous bar of total mass 2 kg is used to stiffen the 4 kg rectangular plate, as shown, along all its four sides. Determine a) The total length of the bar b) The total mass of the assembly c) Its center of mass location, G. d) determine the moment of inertia e) and radius of gyration about G. 300mm A 300mm + 400mm Prob. 4 The stiffened plate described in Prob 3 above, and supported...
The uniform slender rod contains a 4-kg uniform rod with the center of mass at point G is suspended from a hinge at C. The rod is at rest in a vertical position when point B is subjected to a force of P = 75 N, and a moment M = 50 Nm, the length of the rod is 1 m and r = 0.225m. Determine the reactions at the pin C and the initial angular acceleration of the rod....
include free body diagram
. [18 pts] A uniform long slender bar of mass m 6.8 kg and length0.9 m is attached at one of its ends (A) to a horizontal rope while its other end (B) slides without friction on the floor. For the instant when the bar is released from rest in the configuration shown (where θ 45 degrees): (a) Develop expressions for a and ay, the accelerations of the bar's centre of mass in the along with...
Chapter 6, Problem 6/049 The 2.4-kg collar at C has an outer diameter of 85 mm and is press fitted to the light 60-mm-diameter shaft. Each spoke has a mass of 2.0 kg and carries a 3.6-kg sphere with a radius of 50 mm attached to its end. The pulley at D has a mass of 6.8 kg with a centroidal radius of gyration of 90 mm. If a tension T 19 N is applied to the end of the...
Please solve all parts.
#3. A uniform rod B of mass mg is placed inside tube A of mass mA. Both bodies are slender rods, homogeneous, and of length L. Initially B is held inside A by a lightweight cap (not shown) that covers the end of tube A while the assembly is spinning freely with the angular velocity wi about the z-axis. The cap then falls off, allowing the rod to slide out of the tube. If Tube B...
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