Sample Problem 5.The pendulum consists of a 10 kg uniform slender rod and a 15 kg sphere. Ifpendulum is subjected to a torque of M = 50 N-m, and has an angular velocity3 rad/s when 0 = 45°, determine the magnitude of the reactive force pin O exeon the pendulum at this instant.M = 50 N.m600 mmA100 mmB

Answered: Sample Problem 5. The pendulum consists…

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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3. The 2kg ball is attached to 1.2 m light string, making a simple pendulum. It is displaced angle 45 degrees from the vertical and released at t=0s. Directly below the pivot of the pendulum is a 2kg box, attached to a spring of constant k=0.4N/m on a frictionless, horizontal surface. When the boll collides with a box, the boll disconnects from the string and sticks to the box. (a) At what time will the spring first reach its maximum compression? (b) Find the amplitude of the spring oscillations. α
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Dynamics, please solve correctly and understandable.
The pendulum consists of two slender rods ABAB and OCOC which have a mass of 5 kg/mkg/m . The thin plate has a mass of 13 kg/m2kg/m2 . Suppose that aaa = 0.6 mm , bbb = 1.8 mm , and rrr = 0.2 mm . (Figure 1) A. Determine the location of the center of mass G of the pendulum. Determine the moment of inertia of the pendulum about an axis perpendicular to the page and passing through G.
The circular shaft AB consists of a 24.2 mm diameter solid steel cylinder in which a 11.4 mm diameter hole has been drilled from end B up to point C. The shaft is attached to fixed supports at each end, and a 150 Nm torque is applied at C. The torque reaction at A is 53.0 Nm. What is the internal torque in segment AC of the shaft? Input your answer as a value only in Nm to one decimal place without +/- sign. 4₁ L₂ C A 150 Nm B
The circular shaft AB consists of a 24.2 mm diameter solid steel cylinder in which a 11.4 mm diameter hole has been drilled from end B up to point C. The shaft is attached to fixed supports at each end, and a 150 Nm torque is applied at C. The torque reaction at A is 53.0 Nm. What is the internal torque in segment AC of the shaft? Input your answer as a value only in Nm to one decimal place without +/-sign. L₁ L₂ A 150 Nm B
QUESTION 4: The cylindrical shaft given in the figure is made of two different sectioned elements between A-Cara and C-D. A torque of 700 Nm is applied in the direction indicated from point B. Since the stiffness modulus (G) of the shaft material is 80 MPa, calculate the support reactions at the A and D ends.
The circular shaft AB consists of a 18 mm diameter solid steel cylinder in which a 8 mm diameter hole has been drilled from end B up to point C. The shaft is attached to fixed supports at each end, and a 150 Nm torque is applied at C. The torque reaction at A is 50 Nm. Determine the ratio of lengths L₁/L₂. Input your answer to two decimal places. 4₁ L₂ A 150 Nm B
3. The damped motion of a vibrating particle is defined by the position r = x1 1-i+(y,ecos2pt )j , where t is in seconds. For x1 = 30 mm and yı = 30 mm, determine the position, velocity and acceleration of particle at time t = 0 s and t= 1.5 s yly | 1.0 0.5 0.2 0.4 0.6 xlx, -0.5 -1.0 212
The portion AOB of a mechanism consists of a 400-mm steel rod OB welded to a gear E of radius 120 mm which may rotate about a horizontal shaft O. It is actuated by a gear D and, at the instant shown, has a clockwise angular velocity of 8 rad/s and a counterclockwise angular acceleration of 40 rad/s². Knowing that rod OB has a mass of 3 kg and gear E a mass of 4 kg and a radius of gyration of 85 mm, determine (a) the tangential force exerted by gear D on gear E, and (b) the components of the reaction at shaft O. 120 mm 00. On If 400 mm
Question 5 T/2 В 1200 Nm A homogeneous steel shaft (G=83GPA) is loaded as shown in the above Figure. Assuming T = 300 N-m, determine the torsional force in N-m in Member BC. Note: Include sign (+/-), assuming the direction of Torsion (T) at D is positive Given: AB: Length = 1.75m, Diameter = 75mm BC: Length = 1.50m, Diameter = 60mm AB: Length = 1.00m, Diameter = 40mm
velocity of the collar is 0.1 m/s. The spring attached to the collar has an undeflected length of 10 cm and a constant of 3 N/m. Calculate the distance x of position 2, where the collar will come to a stop. A 2-kg collar slides without friction along a horizontal rod as shown. At the position 1, the -20 cm V= 0.1 m/s x = ? www 2.

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