A block of mass M attached to a spring of constant k, oscillates back and forth with amplitude A. At the instant shown, the block is at its maximum amplitude and a lump of putty of mass m is dropped from a small height sticking to the block. The mass of the spring is negligible and Putty Equilibrium Position the surface on which M moves is frictionless. Find the new amplitude of oscillations of the block plus putty system. What is the new frequency of oscillations?

A block of mass M attached to a spring of constant k, oscillates back and forth with amplitude A. At the instant shown, the block is at its maximum amplitude and a lump of putty of mass m is dropped from a small height sticking to the block. The mass of the spring is negligible and Putty Equilibrium Position the surface on which M moves is frictionless. Find the new amplitude of oscillations of the block plus putty system. What is the new frequency of oscillations?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: The equilibrium position of the mass m = 3.8 kg occurs where y = 0 and YB = 0. When the attachment B…

A: Given data: mass of block (m) = 3.8 kg Spring stiffness (k) = 875 N/m

Q: A 1.5 kg mass is attached to a vertically oriented spring, stretching it 0.45 m. The mass is moved…

A: Solution: After adding a mass of 1.5kg the spring is stretched to a equilibrium position that is…

Q: Problem 98. The drive mechanism imparts to the semicircular plate simple harmonic motion of the form…

A: Simple harmonic motion,

Q: A particle of mass 20g executes an SHM of amplitude 2.0cm. if the period of oscllation is 0.20s,…

A: Given data,

Q: mass weighing 3 lb stretches a spring 3 in. If the mass is pushed upward, contracting the spring a…

A: m = 3/32 kg k = 3*4 = 12 F(t)=0

Q: Q2: Fig.(2), represents a simplified diagram of a spring-supported vehicle traveling over a rough…

A: as per rule, i solved 1st question only

Q: The homogeneous rod OA is supported at point 0, and a mass of 2m is attached at the bottom of the…

Q: 6. A spring with a spring constant of k = 2 is placed in a medium with a damping force numerically…

A: Given data: k=2 lb/ftβ=4 Need to determine the all values of "m" for which the subsequent free…

Q: A close-coiled helical spring undergoes a static deflection of 30 mm when a mass of 2.5 kg is placed…

Q: The length of a simple pendulum is 0.75 m and the mass of the particle (the "bob") at the end of the…

A: Part a Height of the lifted bob is given byh=L(1-cos θ)h=0.75(1-cos 8.10°)h=7.48×10-3 mNow the total…

Q: A mass m that slides on a rough horizontal surface is attached to a spring of elastic constant k…

A: Let the mass of the body = mLet the spring constant of the body = kThe coefficient of friction of…

Q: Consider the mechanical system shown below with a dash-pot (the dash-pot produces a friction force…

Q: Determine the frequency of the free vibrations, when a body of mass 20 kg is suspended from a spring…

A: The solution is given as follows

Q: Prob. # 6] The ratio k/m of a spring-mass system is given as 4. If the mass is deflected 2 cm down,…

Q: Pivot 3L

A: To determine the time period of a pendulum we will use concept of D' Alembert's principle given in…

Q: A 1.5 kg mass is attached to a vertically oriented spring, stretching it 0.45 m. The mass is moved…

A: Solution: When mass of 1.5kg is added to the spring, the spring elongates by 0.45m, this is known as…

Q: Determine the period of small oscillations of a small particle that moves without friction inside a…

Concept explainers

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

Question

Find the new amplitude of oscillations of the block plus putty VA
. A block of mass M attached to a spring of constant k, oscillates back and forth with amplitude A.
At the instant shown, the block is at its maximum amplitude
and a lump of putty of mass m is dropped from a small height
sticking to the block. The mass of the spring is negligible and
Putty
Equilibrium
Position
the surface on which M moves is frictionless.
M
Find the new amplitude of oscillations of the block plus putty
system. What is the new frequency of oscillations?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

solve this without the application of MOMENTS please. the answer is attached also
A physical pendulum starts moving from a position in which its center of mass is directly above the suspension point. The pendulum swings passing its equilibrium point with angular velocity ω. Neglecting any friction, find the period of small oscillations of the pendulum. (Note: the period of small oscillations need not be the same as the period of a large-amplitude oscillation described).
4- The block is supported by the spring arrangement as shown. The block is moved vertically downward from its equilibrium iggila position and released. Knowing that the amplitude of the resulting motion is 45 mm, determine the natural period and the frequency of the motion. Also, find the maximum velocity and the maximum acceleration of the block for each case of the following. 16 kN/m 10 ib/in. 16 kN/m 20 lb/in. : 25 b/in. 35 kg -16KN/m 16 lb/in. 12 b/in. 20 lb/in. 8 kN/m kN/m akg (a) (b) (c) (d)
As shown in the Fig. 3, the CM of a cylinder of mass m and radius R is connected to the top of hoop of mass m by a spring. The spring constant is assumed to be known and it is denoted by k. At a given moment the system is slightly compressed and then suddenly released. After the release, both rigid objects roll without slipping. Determine the angular frequency of the resulting oscillation. It is assumed that the spring remains horizontal throughout the motion. Figure 3: Coupled Oscillator
Derive the differential equation of motion for the system shown in its equilibrium position. Neglect the mass of link AB and assume small oscillations. Use the values m1=22 kg, m2=31 kg,k=800 N/m, c=163 N·s/m, a=340 mm, and b=610 mm and calculate the damping factor
1. A spring mass system is placed on smooth horizontal table. From equilibrium position the mass is pulled rightwards to point A and released from rest. The object passes equilibrium position and moves until it stops momentarily at point B. Total time taken to move from A to B is 2 seconds. Mass of the object is 200 grams and total energy of the system is 0.9 J. What is the frequency of vibration and distance between A and B.
Which one is correct please?
Solve step by step in digital form
2) A massless bar of length L carrying a tip mass m is rigidly connected to a homogenous disk of radius R and mass m as shown below. The disk rolls without slipping on the ground. Note that gravity acts down and that a spring of stiffness k and a dashpot of constant c connect the center of the disk to an oscillating wall and a fixed one respectively. Determine the amplitude of response of the angle 0(t).