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Question 3: The door AB with length L and total mass of Mis pinned at A....
Given: Rigid arm OA (having length L and having negligible mass) is pinned to ground at...
Given: Rigid arm OA (having length L and having negligible mass) is pinned to ground at end 0. A particle of mass M is attached to end A of OA. At instant "1", a pellet P (having a mass of m) strikes the stationary particle A with a speed of up in the direction shown below in the figure. At the end of a short time interval impact, P sticks to A. Find: Determine the angular speed of arm OA...
End A of the 6-kg uniform rod AB of length L = 1.5 m rests on...
End A of the 6-kg uniform rod AB of length L = 1.5 m rests on the inclined surface, while end B is attached to a collar of negligible mass which can slide along the vertical rod shown. When the rod is at rest a vertical force P is applied at B. causing end of the rod to start moving upward with an acceleration of 4 m/s2 Knowing that = 35°, determine the force P. В The force Pis N1.
Two identical steel rods AB and CD each have a length L = 6 m and...
Two identical steel rods AB and CD each have a length L = 6 m and cross-sectional areas of 500 mm2, and are used to support the rigid beam, which is pinned at A and maintains an initial gap of 0.2 mm to support F. If a vertical force P is applied at the end of the beam, (i) (ii) determine the value of P required to close the gap If P = 12 kN, determine the force in rod...
36. A uniform rod AB of length L and weight W is attached to two wires,...
36. A uniform rod AB of length L and weight W is attached to two wires, each of length b. The rod is released from rest when 0-0 and swings to the position 0-90°, at which time wire BD suddenly breaks. Determine the following: a) The tension in wire AC immediately before wire BD breaks. b) The tension in wire AC immediately after wire BD breaks.
B Problem (10) 3 m 3 m The door has mass m= (2n) in kg and...
B Problem (10) 3 m 3 m The door has mass m= (2n) in kg and center of gravity at G. The door moves smoothly over a frictionless rollers at A and B. If a force F is applied to the IG door to push it open a distance 5 m to the right in 4 seconds, starting from 3 m rest. Determine the vertical reaction 1.20 m at roller A (in Newtons). Hint: first you have to find the...
Question 4 A homogeneous slender rod AB of mass m and length L is held in...
Question 4 A homogeneous slender rod AB of mass m and length L is held in the position shown in Figure Q4. The end A of the rod is free to move along the smooth horizontal surface. The end B of the rod is connected to rod BC of negligible mass. The rod AB is released from rest in the position shown when 0 = 60°. If the acceleration of end B is ā, = -a,j, derive the expressions in...
UIT LE 11/4., /4.127 Three rigid bars with the same length L are pinned as shown...
UIT LE 11/4., /4.127 Three rigid bars with the same length L are pinned as shown in the figure. They are connected by linear springs with the same spring constant K. A downward force P is applied at the point F. Use the principle of virtual work to determine the vertical displacements at points A, C, and F corresponding to the equilibrium state. Assume that all displacements are small at the equilibrium state.
1. The ends of a uniform bar AB with length l= 36.0 in and weight W...
1. The ends of a uniform bar AB with length l= 36.0 in and weight W = 30.0 lb are attached to collars of negligible weight that slide without friction along fixed bars. A vertical force P is applied to collar B. The bar is initially at rest in the position shown and the initial angular acceleration of A is 40.0 ft/s to the left, aA = – 40 ft/s i. o= 30° {= 36 in O Draw a free...
The 2kg arm AB is connected to the 5kg trolley by a frictionless pivot as shown below. The length of AB is 1.5m and it...
The 2kg arm AB is connected to the 5kg trolley by a frictionless pivot as shown below. The length of AB is 1.5m and it can be assumed to be a slender rod. 100N The system is initially stationary before the 100N force is applied at B. (a) Draw a free body diagram of both the trolley and arm. [2 marks] (b) Express the acceleration of the trolley in terms of the acceleration of point G and the angular acceleration...
Problem 1 (20 points) The rigid bar AB is pinned at A and supported by two...
Problem 1 (20 points) The rigid bar AB is pinned at A and supported by two aluminum rods (E = 10 x 103ksi) with diameter d = 1.2 in and the length shown for each on the figure. If the rigid bar is initially vertical, determine (a) the reaction exerted at A and (b) the average normal stress in each rod when the 40-kip force is applied. 40 kip 2 ft d = 12 in La 2 ft- (a) reaction...
Given: Rigid arm OA (having length L and having negligible mass) is pinned to ground at end 0. A particle of mass M is attached to end A of OA. At instant "1", a pellet P (having a mass of m) strikes the stationary particle A with a speed of up in the direction shown below in the figure. At the end of a short time interval impact, P sticks to A. Find: Determine the angular speed of arm OA...
End A of the 6-kg uniform rod AB of length L = 1.5 m rests on the inclined surface, while end B is attached to a collar of negligible mass which can slide along the vertical rod shown. When the rod is at rest a vertical force P is applied at B. causing end of the rod to start moving upward with an acceleration of 4 m/s2 Knowing that = 35°, determine the force P. В The force Pis N1.
Two identical steel rods AB and CD each have a length L = 6 m and cross-sectional areas of 500 mm2, and are used to support the rigid beam, which is pinned at A and maintains an initial gap of 0.2 mm to support F. If a vertical force P is applied at the end of the beam, (i) (ii) determine the value of P required to close the gap If P = 12 kN, determine the force in rod...
36. A uniform rod AB of length L and weight W is attached to two wires, each of length b. The rod is released from rest when 0-0 and swings to the position 0-90°, at which time wire BD suddenly breaks. Determine the following: a) The tension in wire AC immediately before wire BD breaks. b) The tension in wire AC immediately after wire BD breaks.
B Problem (10) 3 m 3 m The door has mass m= (2n) in kg and center of gravity at G. The door moves smoothly over a frictionless rollers at A and B. If a force F is applied to the IG door to push it open a distance 5 m to the right in 4 seconds, starting from 3 m rest. Determine the vertical reaction 1.20 m at roller A (in Newtons). Hint: first you have to find the...
Question 4 A homogeneous slender rod AB of mass m and length L is held in the position shown in Figure Q4. The end A of the rod is free to move along the smooth horizontal surface. The end B of the rod is connected to rod BC of negligible mass. The rod AB is released from rest in the position shown when 0 = 60°. If the acceleration of end B is ā, = -a,j, derive the expressions in...
UIT LE 11/4., /4.127 Three rigid bars with the same length L are pinned as shown in the figure. They are connected by linear springs with the same spring constant K. A downward force P is applied at the point F. Use the principle of virtual work to determine the vertical displacements at points A, C, and F corresponding to the equilibrium state. Assume that all displacements are small at the equilibrium state.
1. The ends of a uniform bar AB with length l= 36.0 in and weight W = 30.0 lb are attached to collars of negligible weight that slide without friction along fixed bars. A vertical force P is applied to collar B. The bar is initially at rest in the position shown and the initial angular acceleration of A is 40.0 ft/s to the left, aA = – 40 ft/s i. o= 30° {= 36 in O Draw a free...
The 2kg arm AB is connected to the 5kg trolley by a frictionless pivot as shown below. The length of AB is 1.5m and it can be assumed to be a slender rod. 100N The system is initially stationary before the 100N force is applied at B. (a) Draw a free body diagram of both the trolley and arm. [2 marks] (b) Express the acceleration of the trolley in terms of the acceleration of point G and the angular acceleration...
Problem 1 (20 points) The rigid bar AB is pinned at A and supported by two aluminum rods (E = 10 x 103ksi) with diameter d = 1.2 in and the length shown for each on the figure. If the rigid bar is initially vertical, determine (a) the reaction exerted at A and (b) the average normal stress in each rod when the 40-kip force is applied. 40 kip 2 ft d = 12 in La 2 ft- (a) reaction...
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