
PROBLEM 17.113 The slender rod AB of length L = 1 m forms an angle B...
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B PROBLEM 17.113 The slender rod AB of length L = 1 m forms an angle B = 30° with the vertical as it strikes the frictionless surface shown with a vertical velocity 7 = 2 m/s and no angular velocity. Knowing that the coefficient of restitution between the rod and the ground is e = 0.8, determine the angular velocity of the rod immediately after the impact
2. (40 points) A soccer ball tester consists of a 15-kg slender rod AB with a 1.1-kg sim- ulated foot located at A and a torsional spring located at pin B. The torsional spring has a spring constant of k 910 N.m/rad and is unstretched when AB is its lowest position. Fig. 2 depicts the simulation. The length of AB is 0.9 m, and you can assume that the foot ban be modcled as a particle, Knowing that the velocity...
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...
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 pendulum consists of a slender rod, AB, of weight
Wr = 8.70 lb and a wooden sphere of weight Ws =
28.9 lb .(Figure 1) The length of the rod is d1 = 7.20 ft
and the radius of the sphere is R = 0.500 ft . A
projectile of weight Wp = 0.300 lb strikes the center of
the sphere at a velocity of v1 = 866 ft/s and becomes
embedded in the center of the sphere. What...
D L/2 G L/2 B MO A uniform slender rod of mass M=10 kg and length L=3m, is hinged at A. The rod is held in a horizontal position against А the spring (k= 200kN/m) at G, the spring being in compression. When the rod is released from this horizontal position k Rigid (the spring is not connected to the rod), support it will rotate about the frictionless hinge Spring A in a vertical plane. Determine: support a. The minimum...
The pendulum consists of a 7-kg slender rod with length (L) of 1.2 m and it is fixed to a 16-kg disk with radius of 0.3 m. If the spring has an un-stretched length of 0.2 m and stiffness of 200 N/m, determine the angular velocity of the pendulum when it is released from rest and rotates clockwise 90° from the position shown. The roller at C allows the spring to always remain vertical. At θ-00, the stretched length of...
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Problem 4 500 mm 100 mm The hammer consists of a 10kg solid cylinder C and 6-kg uniform slender rod AB. If the hammer is released from rest150 mm when 0-90% and strikes the 30-kg block D when 0-0%, determine the velocity of block D and the angular velocity of the hammer immediately after the impact. The coefficient of restitution between the hammer and the block is...
21 (25) A uniform slender rod AB rests on a frictionless rizontal surface and a force P of magnitude 1N is applied at A ia direction perpendicular to the rod. Knowing that the rod weighs 0.8 kg, determine the acceleration of (a) point A, (b) point B. (gmP/12)
A 3.5-kg slender rod AB and a 2-kg slender rod BC are connected by a pin at Band by the cord AC. The assembly can rotate in a vertical plane under the combined effect of gravity and a couple M applied to rod BC. In the position shown, the angular velocity of the assembly is zero and the tension in cord AC is equal to 271 N. 400 mm 400 mm 300 mm A Problem 16.090.a - Rotation about a...