Given the figure shown below, what is the mass of block B on the smooth incline if the system is in static equilibrium? A spring, with a spring constant of 300 N/m and resting length of 1.5 m, runs from block B up to A.

Given the figure shown below, what is the mass of block B on the smooth incline if the system is in static equilibrium? A spring, with a spring constant of 300 N/m and resting length of 1.5 m, runs from block B up to A.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter7: Hamilton's Principle-lagrangian And Hamiltonian Dynamics

Section: Chapter Questions

Problem 7.10P

See similar textbooks

Related questions

Q: - A plane is headed eastward at a speed of 156 m/s relative to the wind. A 20.0 m/s wind is blowing…

Q: osition Time Graphs-Average Speed In the position vs. time graphs below, all the times are in…

Q: In the Millikan Oil Drop experiment, Robert Millikan and Harvey Fletcher determined the elementary…

A: Electric force is The electric force balances the downward force of gravity.Note:Gravitational…

Q: Consider the circuit shown below Find V₁, V₂, and R. www R₁ = 6N V₁ V₁ RA Hint V₂ 4₁-4A www R₂=4N R₁…

Q: Two charged, square plates, separated by a distance of 13.1 cm and each with a side length of 20.3…

Q: The mass of a block of wood is (3.15 ± 0.05) kg and its volume is (6.35 ± 0.02) x 103 cm3. Using the…

A: Given thatMass of the block of woodVolumeTo determine thatsolve for density and find the uncertainty…

Q: Three charges +q, +Q, and -Q are placed at the corners of an equilateral triangle as shown. The net…

A: Three charges placed at corners of an equilateral triangleRequired:Net force on charge +q

Q: A sound wave with intensity 1.5×10-3 W/m² is perceived to be modestly loud. Your eardrum is 5.9 mm…

A: Sound intensity formula is given by,where, I = Sound intensity =1.5x10-3 w/m2P = Acoustic power A =…

Q: Suppose a car is traveling at +21.4 m/s, and the driver sees a traffic light turn red. After 0.511 s…

A: The objective of the question is to find the total stopping distance of the car from the point where…

Q: A charge of -27 μC is distributed uniformly throughout a spherical volume of radius 8.5 cm.…

Q: A uniform electric field of magnitude 350 V/m is directed in the negative y direction as shown in…

Q: à particle that carries a net charge of -77.8 µC is held in a onstant electric field that is uniform…

A: Charge q = -77.8=-77.8 =55.2The electric field E = 9.82 N/C

Q: What is the change in length of a 15.748cm long column of mercury if its temperature changes from…

Q: A ball is kicked at ground level with an initial velocity of 19 m/s in the horizontal direction and…

A: The objective of the question is to find the maximum height attained by the ball. This can be…

Q: Traffic shock wave. An abrupt slowdown in concentrated traffic can travel as a pulse, termed a shock…

A: Solution:-

Q: Light of frequency f = 7.5 × 10 14 Hz is incident on the left side of the soap film. Determine the…

A: The frequency of the light on the left side of the soap film is

Q: 19-4.12) A sound wave of frequency 313 Hz has an intensity of 1.13 µW/m². What is the amplitude of…

Q: A negative charge q= -9.0x 10-3 C is released from rest at point A, where the electric potential is…

Q: A ball is tossed horizontally from the highest point of a 75 m building and lands 150 m from the…

A: The objective of this question is to find the vertical component of the velocity of a ball just…

Q: What is the range in meters of a projectile launched at an angle of θ1 = 78.3° with an initial speed…

A: The objective of this question is to calculate the range of a projectile launched at a certain angle…

Q: Two ice skaters stand together as illustrated in Figure (a). They "push off" and travel directly…

A: The objective of the question is to find the velocity of the girl after the two ice skaters push off…

Q: Two small forces are exerted on a small 186kg asteroid by a pair of space tractors. F⃗ 1F⃗…

A: The objective of the question is to find the magnitude of the net force exerted on the asteroid by…

Q: A negative point charge of q = -14x10-4 C is placed at a point where the electric field is in -y…

Q: Can I get help please

A: The objective of the question is to calculate the orbital period of two planets using the given…

Q: 2- The square plate is deformed into the shape shown by the dashed line. Determine the average…

Q: 4. Write each combination of vectors as a single vector. See figure below. (a) PQ+QR (b) RP+ PS (c)…

Q: A thin, flat ring with inner radius R1 and outer radius R2 is uniformly charged on one side with a…

A: Inner radius of charged ring is Outer radius of charged ring is Surface charge density is Electric…

Q: Two positive charges, each with a charge of Q = 51.0 μC, are held fixed at a distance L = 30.60 cm…

A: Two positive charges are , Charge of particle , Mass of particle m=1.50 g

Q: The elevation angle is 33.2 degrees. Find the range in meters for the projectile with a speed of…

Q: A line of uniform charge Q runs along the y-axis from 0 to L. What is the electric field at the…

Q: An electric dipole is shown above with charges ±q and seprated by distance r. What is the correct…

A: An electric dipole of charges Distance between charges is Find:Direction of electric field at point…

Q: A small plastic ball is connected to a lightweight cord of length L = 1.60 m that is tied to a point…

Q: As soon as a traffic light turns green, a car speeds up from rest to 48.0 mi/h with constant…

Q: 9. The original 1955 Ford Thunderbird was powered by a 292-in³ engine. What is this volume in…

A: The volume of engine is V =292 in3 Now, 1 in = 0.0254 m So, V= 292×(0.0254)3 m3 = 4.785×10-3…

Q: A 55 x 10-6 C charge is at (0, 2)m and a -85 x 10-6 C charge is at (5, 0)m. a. What is the force on…

A: Charge is placed at Charge is placed at Note:Coulomb constant is Find:(a) Force on charge .(b)…

Q: -27 kg. A bare helium nucleus has two positive charges and a mass of 6.64 10 (a) Calculate its…

A: (a) The kinetic energy (KE) of the bare helium nucleus can be calculated using the non-relativistic…

Q: A small object has charge Q> 0. Charge q (0 ≤ q ≤ Q) is removed from it and placed on a second small…

A: Coulomb's law states that the electrostatic force between two charges kept at a distance r apart is…

Q: Find the charge stored when 5.5 V is applied to an 8.5-pF capacitor. Q= C

A: Given data: Voltage (V) = 5.5 VCapacitance (C) = 8.5 pF = 8.5×10-12 FRequired:The charge stored (Q)

Q: how much energy is required to heat up 45g of water at 55\deg c to steam at 140\deg c

A: Page 1

Q: ind the total capacitance of the combination of capacitors shown: 0.30 uF 2.5 µF

A: When two capacitors are connect in series then equivalent capacitance can be calculated as, C =…

Q: Electric field from an infinite line of charge. An infinite line of charge with linear charge…

Q: A body with mass of 500 g is attached to the end of a spring that is stretched 50 cm by a force of…

Q: The electric field at 4 cm from the center of a long copper rod of radius 1 cm has a magnitude of 6…

A: GivenTo determine that(A) The charge per unit length?(B) The electric flux through 5cm ?

Q: A hollow sphere with a radius of 1.50 m has positive charge q uniformly distributed on its surface.…

A: The objective of the question is to find the magnitude of the electric field at a point inside the…

Q: An insulated copper rod is place between a hot reservoir at 279°C and a cold reservoir at 47° C. The…

Q: Please find the degree also

A: The objective of this question is to find the magnitude and direction of the magnetic field produced…

Q: What is the force (in N) of gravity between two 1445 kg cars separated by a distance of 42.0 m on an…

A: The objective of this question is to calculate the gravitational force between two objects, in this…

Q: In the figure here, a red car and a green car move toward each other in adjacent lanes and parallel…

Q: An evacuated tube uses an accelerating voltage of 40 kV to accelerate electrons to hit a copper…

Q: The nuclei of large atoms, such as uranium, with 92 protons, can be modeled as spherically symmetric…

A: Given data:Radius of uranium nucleus is, .The number of protons is,

Concept explainers

Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).

Question

Given the figure shown below, what is the mass of block B on the smooth incline if the system is in static
equilibrium? A spring, with a spring constant of 300 N/m and resting length of 1.5 m, runs from block B
up to A.

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1: Given that

VIEW

Step 2: From the free body diagram

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 3 images

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, physics and related others by exploring similar questions and additional content below.

Similar questions

A block resting on a plane inclined at an angle 36o from the horizontal is being held in place by steel cables a, b, and c as shown in the figure below. The tension in cable b is 75.0 N. Note that cable a is parallel to the surface of the incline and that cable b is perfectly horizontal. a. determine the normal force N and the force due to gravity ??.b. What is the mass of the block in kilograms?
Two cables are tied together at C and are loaded as shown. Knowing that P = 3567, α = 45.8° and θ = 54.2°, determine the tension in cable BC.
A person who weighs 760 N steps onto a spring scale in the bathroom, and the spring compresses by 0.635 cm. (a) What is the spring constant? (b) What is the weight of another person who compresses the spring by 0.314 cm?
The pelvis P is connected to the femur F at A using three different muscles, which exert the forces shown on the femur. Determine the resultant force and specify its orientation θ, measured counterclockwise from the positive x axis.
A lantern is suspended by two strings. How many forces are acting on the lantern to keep in equilibrium condition? a. 5 b. 4 c. 3 d. 2
As shown below, two identical springs, each with the spring constant 20 N/m, support a 15.0-N weight. (a) What is the tension in spring A? (b) What is the amount of stretch of spring A from the rest position?
What is the force exerted by the string on the wall at point A in the figure if the suspended fish has mass m = 0.55 kg?
A small block with mass mm is placed inside an inverted cone that is rotating about a vertical axis such that the time for one revolution of the cone is TT (Figure 1). The walls of the cone make an angle ββ with the horizontal. The coefficient of static friction between the block and the cone is μsμs. If the block is to remain at a constant height hh above the apex of the cone, what are (a) the maximum value of TT and (b) the minimum value of TT? (That is, find expressions for TmaxTmax and TminTmin in terms of ββ and hh.) (c) What do your expressions for TmaxTmax and TminTmin become if μsμs = 0? Express your answer in terms of the variables ββbeta, hhh, and constants ggg, ππpi separated by a comma.
Atwood’s machine consists of two masses connected by a string over a frictionless pulley. In analyzing the situation, treat the motion as one dimensional. If one mass is 1.5 kilograms and the other mass is 1.0 kilogram compute the following quantities: (a) Which mass risesand which mass falls? (b) what is the acceleration of the system of blocks? (b) what is the tension in the string?
Consider the diagram below. Mass Ma = 5kg and Mb = 50kg. The coefficient of kinetic friction between the black Ma and the table top is .2 = μk. Assume the tension in the cord is uniform throughout its length, the acceleration of each block is the same, and the pulley has no mass or friction. Calculate:a.) The acceleration in the system.b.) The tension T in the cord.
Consider the mechanical system shown in Figure 2 (a) Draw the free-body diagram (or force diagram) for this system at point P. (b) Construct the component equilibrium equations based on the first condition for equilibrium for the point P, i.e., use sum Fx=0 and sum Fy =0 . (c) If the tension force T1 =1165N, theta 1 =50.0^ and theta 2 =35.0^ what are the magnitudes of the tension force T2 weight W = mg ?
Now the contestant pulls the 45-kg block of ice across the frozen lake with a rope over his shoulder as shown in the figure. The maximum coefficient of static friction between the block and ice is μs= 0.1, and the coefficient of kinetic friction is μk= 0.03. θ= 25° as shown. d) Calculate the minimum force F that must be exerted to get the block moving. e) What is the acceleration of the block once it starts to move if the force from part (d) is maintained?