A block of mass m1 = 4.0 kg on a frictionless plane inclined at angle θ = 30.0° is connected by a cord over a massless, frictionless pulley to a second block of mass m2 = 3.0 kg as shown below. What are:a) the magnitude and direction of the acceleration of each block,b) the tension in the cord?

In x-direction,m1gsinθ-T=m1ax ....(i)T-m2g=m2ax…

Answered: the magnitude and direction of the…

Science

Physics

the magnitude and direction of the acceleration of each block, b) the tension in the cord?

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter5: Displacement And Force In Two Dimensions

Section: Chapter Questions

Problem 99A

See similar textbooks

Related questions

Q: Two blocks of masses m1 = 3 kg and m2 = 4 kg are placed on a frictionless horizontal surface and…

Q: A force of magnitude 9.65 N pushes three boxes with mass M1=1.30 kg, and M2=3.20 kg, and M3=4.90 kg.…

Q: A block is held in place on a frictionless incline by a horizontal cable, as shown. The block has…

Q: Consider 2 forces acting on a mass of 2.42 kg. F1 = 10.4 N @ 18.1 degrees and F2 = 7.07 N @ 66.4…

A: Given Forces are F1 = 10.4 N @ 18.1 degrees measured relative to the +x direction. and F2 = 7.07 N…

Q: The following figure shows a pair of blocks connected with an inextensible light rope that passes…

Q: A cube of mass m1=5.4 kg is sitting on top of a second cube of the same size and mass m2=0.5 kg…

A: Given: mass m1 = 5.4 kg. mass m2 = 0.5 kg.

Q: Consider 2 forces acting on a mass of 1.97 kg. F1 = 8.7 N @ 18.6 degrees and F2 = 8.69 N @ 67.5…

A: Given data The mass of an object is m = 1.97 kg The magnitude of the first force is F1=8.7 N The…

Q: Four blocks with masses m1=5.00kg, m2= 5.10kg, m3= 7.00kg, m4= 7.20kg are pulled on a horizontal,…

A: solution: Given Values, Masses: m1=5.00 Kgm2=5.10 Kgm3= 7.00 Kgm4= 7.20 KgAngle (θ)=34°Force (F) =…

Q: In the figure, a force of magnitude 11.2 N is applied to a block of mass m2 0.8 kg. The force is…

Q: The directions of the three forces on block 1 must be identified. Create the free-body…

Q: In the figure, a slab of mass m1 = 44 kg rests on a frictionless floor, and a block of mass m2 = 9…

Q: In the figure, block 1 has mass m1 = 470 g, block 2 has mass m2 = 580 g, and the pulley is on a…

Q: Two constant forces act on an object of mass m = 5.90 kg object moving in the xy plane as shown in…

Q: Two blocks with masses m₁ = 4.90 kg and m₂ = 7.20 kg are connected by a light string, as in the…

A: Given: m1=4.9 kgm2=7.2 kgμk=0.125

Q: Four blocks, with masses m1 = 5.20 kg, m2 = 5.40 kg, m3 = 7.10 kg, and m4 = 7.10 kg, are pulled on a…

A: The horizontal component of the external force is, Fx=Fcos25o=34 Ncos25o=30.81 N This force pulls…

Q: A particle of mass 4.00 kg, moving on a horizontal table top, has an acceleration vector (in m/s2)…

Q: A block is pressed against a vertical wall by a force F ,as the drawing shows. This force can either…

Q: block of mass m1 = 38.4 kg on a horizontal surface is connected to a mass m2 = 15.2 kg that hangs…

Q: What is the magnitude of the static frictional force acting on the block? A block is at rest on a…

A: Given data: Block of mass m rest on inclined plane And an another block of mass m connected by…

Q: The three forces F1 = 0.8 kN, F2 = 0.6 kN and F3 act on particle P as in the sketch. F1 = 0.8 kN F2…

A: GivenF1 = 0.8 KNF2 = 0.6 KNF3 is acting as shown in figurewe have to calculate the magnitude and…

Q: In the figure, let the mass of the block be 8.50 kg and the angle 0 = 30.0°. Frictionless

A: here the block is on frictionless surface . therefore, there is no frictional force. due to its…

Q: Two ropes are attached to a tree, and forces of F, = 2.0i + 4.0j and F2= 3.0i + 6.0j are applied.…

A: Given data: F1 = 2.0i + 4.0j F2 = 3.0i + 6.0j

Q: Consider a 50-N weight suspended by two wires as shown in the accompanying figure. If the magnitude…

A: Given data: The weight suspended by two wires is W=50 N. The magnitude of the vector force 1 is…

Q: a slab of mass m1 40 kg rests on a frictionless floor, and a block of mass m2 10 kg rests on top…

A: Given: A slab of mass (M)=40 kg Block of mass (m)=10 kg Coefficient of kinetic friction = 0.40…

Q: In the drawing, the weight of the block on the table is 422 N and that of the hanging block is 185…

A: To solve the given question, we need to find the total mass and net force on the system. This will…

Q: Three forces equal to 3P, 5P and 7P act simultaneously along the three sides AB, BC, and CA of an…

A: Given data: Forces F= 3P, 4P and 5P

Q: The two masses shown in diagram S (m1 %3D 1.5 kg; m2 = 3.5 kg) are being pushed together towards the…

Q: A particle with a mass of 10 kg is moving at a velocity of (3t^2 + 4t)j m/s. What would be the…

Q: A block is pushed onto a frictionless surface of inclination 30 ° by applying a force as shown in…

A: Draw the free-body diagram of the mass M.

Q: A block of mass m1 = 3.70 kg on a frictionless plane inclinedat angle 30.0= is connected by a cord…

A: It is given that,

Q: A sledge is being pulled by two horses on a flat terrain. The netforce on the sledge can be…

A: Given data: Force F = (-2980.0 i + 8200.0 j) N Here, i denotes east direction and j denotes north…

Q: The blocks shown below are connected by cords passing over frictionless pulleys. The coefficients of…

A: Refer to the figure below:

Q: black block is 2.07 kg, and the coefficient of kinetic friction for both blocks and inclines is…

Q: A box of mass 30.0 kg is acted on by a constant horizontal force, which moves the box from rest 15.0…

Q: In Fig, a slab of mass m1 =40 kg rests on a frictionless floor, and a block of mass m2 =10kg rests…

A: Determine the static frictional force between the block and the slab as follows.…

Q: Chapter 05, Problem 082 In the overhead view of the figure, five forces pull on a box of mass m =…

A: In the overhead view of the figure, five forces pull on a box of mass m = 3.3 kg. The force…

Q: An Atwood machine consists of two masses hanging from the ends of a rope that passes over a pulley.…

A: The hanging masses, m1=27.0 kgm2=16.0 kg

Q: A block of mass m1 = 38.4 kg on a horizontal surface is connected to a mass m2 = 15.2 kg that hangs…

A: on m2: m2g - T = m2a 15.2g - T = 15.2a ________________(1) on m1: T = m1aT = 38.4a ______________…

Q: A sailboat with a mass of 2 x 103 kg experiences a tidal force of 3 x 103 N directed to the east and…

A: mass of sailboat (m) = 2000 kg tidal force = 3000 N along east force exerted by wind = 6000 N along…

Q: The masses of the red and blue wagons are 6.09 kg and 2.63 kg, respectively. If the red wagon is…

A: Given: Mass of red wagon, mr=6.09 kg Mass of blue wagon, mb=2.63 kg Force, F=18.9 N Free Body…

Q: A block of mass m₁ = 3.70 kg on a frictionless plane inclined at an angle of 30.0° is connected by a…

A: a) gravitational force on m1 along the incline = m1gSin30° = 3.7×9.81×Sin30° = 18.15 N…

Q: Four different constant forces act on a rectangular box with mass m = 2 kg as shown in the figure…

A: According to the second law, an object's acceleration is determined by two variables: the net force…

Q: the drawing, the weight of the block on the table is 422 N and that of the hanging block is 185 N.…

Q: 2) In the figure, a box of ant aunts (total mass mı = 1.65 kg) and a box of ant uncles (total mass…

Q: The figure shows a box of dirty money (mass m1 = 3.0 kg) on a frictionless plane inclined at angle…

Q: F= 60 Ib 60 Figure (5) F = 70 lb Fj = 50 lb For figure (5): The object is subjected to three forces,…

Q: Consider 2 forces acting on a mass of 2.37 kg. F1 = 10 N @ 19.3 degrees and F2 = 7.97 N @ 67.9…

A: We have an object of mass m=2.37 kg on which two forces are acting F1=10 N at an angle 19.3o and…

Q: The block shown in the figure is along a frictionless horizontal surface The block's mass is m =…

A: In the given question, Mass of block (m) = 4.7 kg Applied force magnitude (F) = 26.5 N Angle of…

Q: Find the magnitude and direction of the resultant and equilibrant force of the following four fo…

Q: F2 F,- 30 F,

Question

A block of mass m1 = 4.0 kg on a frictionless plane inclined at angle θ = 30.0° is connected by a cord over a massless, frictionless pulley to a second block of mass m2 = 3.0 kg as shown below. What are:

a) the magnitude and direction of the acceleration of each block,

b) the tension in the cord?

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 (a) To Determine, the magnitude and direction of the acceleration of each block.

VIEW

Step 2 (b). To Determine, the tension in the cord.

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

Similar questions

If the vector components of the position of a particle moving in the xy plane as a function of time are x(t)=(2.5ms2)t2i and y(t)=(5.0ms3)t3j, when is the angle between the net force on the particle and the x axis equal to 45?
In Fig, a slab of mass m1 =40 kg rests on a frictionless floor, and a block of mass m2 =10kg rests on top of the slab. Between block and slab, the coefficient of static friction is 0.60, and the coefficient of kinetic friction is 0.40. A horizontal force of magnitude 100 N begins to pull directly on the block, as shown. In unit-vector notation, what are the resulting accelerations of (a) the block and (b) the slab?
In the figure, a slab of mass m1 = 40 kg rests on a frictionless floor, and a block of mass m2 = 10 kg rests on top of the slab. Between block and slab, the coefficient of static friction is 0.60, and the coefficient of kinetic friction is 0.40. A horizontal force F→ of magnitude 104 N begins to pull directly on the block, as shown. In unit-vector notation, what are the resulting accelerations of (a) the block and (b) the slab?
A block of mass m1 = 3.70 kg on a frictionless plane inclinedat angle 30.0= is connected by a cord over a massless,frictionless pulley to a second block of mass m2 2.30 kg ). What are (a) the magnitude of the acceleration of eachblock, (b) the direction of the acceleration of the hanging block,and (c) the tension in the cord?
a slab of mass m1 40 kg rests on a frictionless floor, and a block of mass m2 10 kg rests on top of the slab. Between block and slab, the coefficient of static friction is 0.60, and the coefficient of kinetic friction is 0.40.A horizontal force of magnitude 100 N begins to pull directly on the block, as shown. In unit-vector notation, what are the resulting accelerations of (a) the block and (b) the slab?
A block of mass m1 = 3.70 kg on a frictionless plane inclined at angle is connected by a cord over a massless, frictionless pulley to a second block of mass m2 = 2.30 kg. What are (a) the magnitude of the acceleration of each block (b) the direction of the acceleration of the hanging block, and (c) the tension in the cord?
A cube of mass m1=5.4 kg is sitting on top of a second cube of the same size and mass m2=0.5 kg while both are in free fall. Ignoring any air resistance, what is the magnitude of the normal force with which the bottom cube is acting on the top cube?
In the figure, block 1 of mass m1 = 1.9 kg and block 2 of mass m2 = 1.4 kg are connected by a string of negligible mass. Block 2 is pushed by force F→ of magnitude 23 N and angle θ = 33°. The coefficient of kinetic friction between each block and the horizontal surface is 0.16. What is the tension in the string?
Consider 2 forces acting on a mass of 2.37 kg. F1 = 10 N @ 19.3 degrees and F2 = 7.97 N @ 67.9 degrees where the angles are measured relative to the +x direction. What is the magnitude of the acceleration produced considering only these 2 forces acting?
A drag force is represented by vector a of magnitude 5.72 N and direction 148.6 degrees (measured from the +x-axis, counter-clockwise). If the gravitational force of a projectile is represented by vector bof magnitude of 11.2 N. The x-component of the Sum vector, sx (N) is:
A block of mass m2 = 3.5 kg rests on a frictionless horizontal shelf. and is connected by ropes to two blocks of masses m1 = 1.5 kg and m3 = 2.5 kg, which hang freely, as shown in the figure. The pulleys are frictionless and their mass is negligible. The system is initially kept at rest. When released, determine: a) the acceleration of each of the blocks, and b) the tension in each rope.
Four blocks with masses m1=5.00kg, m2= 5.10kg, m3= 7.00kg, m4= 7.20kg are pulled on a horizontal, frictionless surface by a 33.0 N force that makes a 34 degree angle with the horizontal. What is the magnitude of the tension between m2 and m3 blocks?