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Q1: the collar shown in figure (1) has a mass of 3 kg and attached to the light spring, which has stiffness of 35 N/m and an unstretched length of 2 m. the collar is released from rest at A and slides up the smooth rod under the action of the constant 75 N force. Calculate the velocity of the collar as it passes position B.

Q1: the collar shown in figure (1) has a mass of 3 kg and attached to the light spring, which has stiffness of 35 N/m and an unstretched length of 2 m. the collar is released from rest at A and slides up the smooth rod under the action of the constant 75 N force. Calculate the velocity of the collar as it passes position B.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Q1: the collar shown in figure (1) has a mass of 3 kg and attached to the light spring, which has stiffness of 35 N/m and an unstretched length of 2 m. the collar is released from rest at A and slides up the smooth rod under the action of the constant 75 N force. Calculate the velocity of the collar as it passes position B. Q2: Crates A and B mass 50 kg and 25 kg, respectively. If they start from rest, determine their speed when (t = 7 sec). Also, find the force exerted by crate A on crate B during the motion. The coefficient of kinetic friction between the crates and the ground is µk = 0.3. See figure (2) Q3: The 20-kg block A shown in figure (3) slides on the surface for which Hk = 0.2. The block has a velocity v = 12 m/s when it is s = 3.5 m from the 12-kg block B. If the unstretched spring has a stiffness k = 950 N/m, determine the maximum compression of the spring due to the collision. Take e = 0.5. Q4: The pinion A of the hoist motor drives gear B which is attached to the hoisting drum. The load L is lifted from its rest position and acquires an upward velocity of (1m/sec) in a vertical rise of (1.5 m) with constant acceleration. As the load passes this position, compute (a) the acceleration of point C on the cable in contact with the drum and (b) the angular velocity and angular acceleration of the pinion A. See figure (4) Q5: At the instant shown in figure (5) 04 = 6 rad/s, pulley A is given an angular acceleration a = (0.9 0) rad/s², where 0 is in radians. Determine the magnitude of acceleration of point B on pulley C when A rotates 4 revolutions. Pulley C has an inner hub which is fixed to its outer one and turns with it. 2 m B 30 P-200 N 75 N k- 35 N/m 2.5 m Figure (1) Figure (?)
Transcribed Image Text:Q1: the collar shown in figure (1) has a mass of 3 kg and attached to the light spring, which has stiffness of 35 N/m and an unstretched length of 2 m. the collar is released from rest at A and slides up the smooth rod under the action of the constant 75 N force. Calculate the velocity of the collar as it passes position B. Q2: Crates A and B mass 50 kg and 25 kg, respectively. If they start from rest, determine their speed when (t = 7 sec). Also, find the force exerted by crate A on crate B during the motion. The coefficient of kinetic friction between the crates and the ground is µk = 0.3. See figure (2) Q3: The 20-kg block A shown in figure (3) slides on the surface for which Hk = 0.2. The block has a velocity v = 12 m/s when it is s = 3.5 m from the 12-kg block B. If the unstretched spring has a stiffness k = 950 N/m, determine the maximum compression of the spring due to the collision. Take e = 0.5. Q4: The pinion A of the hoist motor drives gear B which is attached to the hoisting drum. The load L is lifted from its rest position and acquires an upward velocity of (1m/sec) in a vertical rise of (1.5 m) with constant acceleration. As the load passes this position, compute (a) the acceleration of point C on the cable in contact with the drum and (b) the angular velocity and angular acceleration of the pinion A. See figure (4) Q5: At the instant shown in figure (5) 04 = 6 rad/s, pulley A is given an angular acceleration a = (0.9 0) rad/s², where 0 is in radians. Determine the magnitude of acceleration of point B on pulley C when A rotates 4 revolutions. Pulley C has an inner hub which is fixed to its outer one and turns with it. 2 m B 30 P-200 N 75 N k- 35 N/m 2.5 m Figure (1) Figure (?)
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