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A slender bar of length / is pinned to the L-shaped bar at O. The L-shaped...
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
A uniform slender bar of mass M = 3.2 kg and length L = 1.78 m...
A uniform slender bar of mass M = 3.2 kg and length L = 1.78 m is translating on the smooth horizontal x-y plane with a velocity vm= 1.80 m/s when a particle of mass m = 0.36 kg traveling with a velocity Vm=5.52 m/s as shown strikes and becomes embedded in the bar. Determine the final linear velocity of the center of mass of the system and the angular velocity of the bar with its embedded particle. 3L 4...
The 600 mm long homogeneous slender bar OA has a mass of 8 kg and is supported in the horizontal position by the cable at A and the corner hinge at O
The 600 mm long homogeneous slender bar OA has a mass of 8 kg and is supported in the horizontal position by the cable at A and the corner hinge at O. The cable at A is suddenly released. Just before hitting the incline, the bar has an angular velocity of ω= 5 rad / sec. Calculate the angle θ. Neglect the curvature of the path of the bar mass center when the bar is falling and assume that the...
Problem3 A uniform slender rod of length L- 2 m and mass 3 ke rotates freely nodty soUARED S hinge at A. At t-0, the initial angle is θ-30 and the in rads/s in the counter-clockwise direction....
Problem3 A uniform slender rod of length L- 2 m and mass 3 ke rotates freely nodty soUARED S hinge at A. At t-0, the initial angle is θ-30 and the in rads/s in the counter-clockwise direction. (no friction) about itial angular velocity SQUARED is 5 What is the angular velocity (squared)d02 and angular acceleration α as functions of 0? a) b) What are the hinge reaction forces as functions of 0, (u? and a? c) What are the hinge...
3 A homogeneous slender bar AB with length and mass M rotates around point A. At...
3 A homogeneous slender bar AB with length and mass M rotates around point A. At the position shown, bar AB has an angular velocity w = 0 and angular acceleration. The inertial force system could be A α F* w=0 M* B F* = MLa/2 M = M10/3 W a 0=0 "С M* B F = ML./2 M = M2/12 c. F* a o=0 C M* B 1* = ML0/2 M = ML°/12 F* α 0=0 с M* B
An L-shaped rigid body ABC consists of two identical uniform slender rods, each of mass 40 kg and...
An L-shaped rigid body ABC consists
of two identical uniform slender rods, each of mass 40
kg and of length, L= 1.6
m welded together. The rigid body is pinned at its
vertex B as shown, with the
end C attached to a spring with a spring
constant, 6 N/cm .
PART A - Determine the natural cycle frequency of the
system.
PART B - If during the oscillatory motion the
end A is observed to move with a speed of 0.12
m/s when AB is vertical,
what...
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...
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...
A small bead of mass m can slide without friction on a circular hoop that is...
A small bead of mass m can slide without friction on a circular hoop that is in a vertical plane and has a radius R. The hoop rotates at a constant angular velocity ω about a vertical axis through the diameter of the hoop. Our goal is to find the angle β, as shown, such that the bead is in vertical equilibrium. We break the problem into several steps. a) Assume the bead is in vertical equilibrium and does not...
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...
A uniform slender bar of mass M = 3.2 kg and length L = 1.78 m is translating on the smooth horizontal x-y plane with a velocity vm= 1.80 m/s when a particle of mass m = 0.36 kg traveling with a velocity Vm=5.52 m/s as shown strikes and becomes embedded in the bar. Determine the final linear velocity of the center of mass of the system and the angular velocity of the bar with its embedded particle. 3L 4...
Problem3 A uniform slender rod of length L- 2 m and mass 3 ke rotates freely nodty soUARED S hinge at A. At t-0, the initial angle is θ-30 and the in rads/s in the counter-clockwise direction. (no friction) about itial angular velocity SQUARED is 5 What is the angular velocity (squared)d02 and angular acceleration α as functions of 0? a) b) What are the hinge reaction forces as functions of 0, (u? and a? c) What are the hinge...
3 A homogeneous slender bar AB with length and mass M rotates around point A. At the position shown, bar AB has an angular velocity w = 0 and angular acceleration. The inertial force system could be A α F* w=0 M* B F* = MLa/2 M = M10/3 W a 0=0 "С M* B F = ML./2 M = M2/12 c. F* a o=0 C M* B 1* = ML0/2 M = ML°/12 F* α 0=0 с M* B
An L-shaped rigid body ABC consists
of two identical uniform slender rods, each of mass 40
kg and of length, L= 1.6
m welded together. The rigid body is pinned at its
vertex B as shown, with the
end C attached to a spring with a spring
constant, 6 N/cm .
PART A - Determine the natural cycle frequency of the
system.
PART B - If during the oscillatory motion the
end A is observed to move with a speed of 0.12
m/s when AB is vertical,
what...
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...
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...
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