1, A block of mass m and a wedge of mass M in the shape of a quarter cylinder are free to move on a frictionless horizontal surface. The block moving with speed vo collides with the stationary wedge and smoothly starts to climb up its cylindrical frictionless surface. (a) To what maximum height will the block reach? (b) It is observed that the velocity of the block after it slides back to the horizontal surface is - vo/2. Calculate the ratio m/M. (c) What is the speed of the wedge after the block slides back down? m Vo - R M 16.0

1, A block of mass m and a wedge of mass M in the shape of a quarter cylinder are free to move on a frictionless horizontal surface. The block moving with speed vo collides with the stationary wedge and smoothly starts to climb up its cylindrical frictionless surface. (a) To what maximum height will the block reach? (b) It is observed that the velocity of the block after it slides back to the horizontal surface is - vo/2. Calculate the ratio m/M. (c) What is the speed of the wedge after the block slides back down? m Vo - R M 16.0

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter9: Dynamics Of A System Of Particles

Section: Chapter Questions

Problem 9.60P

See similar textbooks

Related questions

Q: Do Chapter 12, Problem 5. This is an integration problem, to calculate the center of mass (center of…

A: The variation in height, yx=hxl-12 → 1 M=ρt∫0l yx dx → 2…

Q: A small box of mass m, moving at speed v, slides on top of a larger box of mass M which rests on the…

A: Given that: Mass of small box=m Mass of large box=M Initial speed of small box=v Final speed of…

Q: A 0.350 kg hammer is moving horizontally at 4.00 m/s when it strikes a nail and comes to rest after…

A: Given : mass of hammer, m = 0.350 kg Initial velocity, u = 4.00 m/s Final velocity, v = 0…

Q: A bullet of mass m is traveling at an unknown velocity in the right direction. It is fired at a…

Q: A block of mass 20 kg moves along a frictionless surface, and is in a collision course with a sphere…

Q: A car with a mass of 1000 kg collides perpendicular to the wall at a speed of 20 m/s and then…

A: Given, Mass of car (m)= 1000kg Speed of car before collision (u)= 20m/s (right side ) Speed of…

Q: A particle of mass 1.06 kg begins at rest and is then subject to a force in the positive x direction…

Q: Two objects are at the top of a frictionless slope, object A has twice the mass of object B. If you…

Q: The simple pendulum A of mass mA = 3.7 kg and length / = 1.46 m is suspended from the trolley B of…

A: Mass of pendulum: mA=3.7 kg Length of pendulum: l=1.46 m Mass of trolley: mB=5.1 kg

Q: Two small rubber balls are dropped fromrest at a height h above a hard floor. When the balls are…

Q: For one data trial, you release a water balloon of mass 283 g from the top of a Stanley Hall onto…

Q: A particle of mass m is released on the side of a semicircular track that points downward. The…

A: Given, A particle of mass m is released on the side of a semicircular track .

Q: A triangular rod of length L and mass M has a nonuniform linear mass density given by the equation…

A: Given Data: Let us consider the given triangular rod of length L and mass M has a nonuniform linear…

Q: A block m starts at the bottom of a ramp of length L and angle 0 at rest. A block with mass 2m…

A: We will use conservation of momentum and conservation of energy,

Q: Two blocks of masses m₁ = 5.9kg and mp 19.1kg, resting on a frictionless table, are connected to a…

A: Asit is given that the blocks are released from rest, so initially center of mass was at rest.

Q: Review I Constani A bullet of mass m is fired into a block of mass M that is at rest. The block,…

A: Given: mass of bullet = m Mass of block = M initial velocity of block Vblock = 0 coeff of friction =…

Q: A bullet of mass 20 g with a velocity of 500 m/s collides with a 1 kg block which is at rest on an…

A: Mass of the bullet is given as, m = 20 g Mass of the block is given as, M = 1 kg The angle of…

Q: Part (a) Assuming that block one stops after it collides with block two, what is block two's…

Q: An unstable nucleus of mass 1.7 x 10-26 kg, initially at rest at the origin of a coordinate system,…

A: Use the conservation of momentum to solve for the velocity of the third particle.…

Q: A stone is dropped at t = 0. A second stone, with 2 times the mass of the first, is dropped from the…

Q: A block of mass 20 kg moves along a frictionless surface, and is in a collision course with a sphere…

A: Mass of block M= 20 kg Mass of sphere m= 10kg Coefficient of restitution e=0.800 Length of rope r=…

Q: velocity of 0.650 m/s to the left, and puck B has a velocity of 0.120 m/s to the right. What is the…

Q: A 15 kg projectile is launched in the xy plane with a velocity of 100 m/s at an angle of 30 degrees…

A: When projectile explode into three parts their are only internal force acting at that time or we can…

Q: If a 0.50 kg block initially at rest on a frictionless, horizontal surface is acted upon by a force…

A: Given Mss of a block = 0.50 kg Initial velocity of block = 0 m/s Surfaces are frictionless force…

Q: A student performs a ballistic pendulumexperiment using an apparatus. Initially the bullet is fired…

A: As the bullet strikes to th block and the bullet block system rises to a height, the energy of teh…

Q: A small block of mass m, is released from rest on the top of a frictionless, curved shaped wedge of…

A: As the small mass m1 falls down the curved wedge, they move such that the center of mass doesnt…

Q: A stone is dropped at t = 0. A second stone, with 5 times the mass of the first, is dropped from the…

Q: A block of ice with a mass of 2.50 kg is moving on a frictionless, horizontal surface. At t=0, the…

Q: Consider a system of two particles in the xy-plane. For the first particle, Its mass is m₁ = 1.30 kg…

Q: speed of 3.51 m/s as it strikes the 0.52 kg sphere A which was at rest. If the coefficient of…

A: Given :mB =1.16 kgmA =0.52 kguB =3.51 m/suA =0 m/sμ =0.26 vA =1.51 m/s

Q: An experiment is done to compare the initial speed of projectiles fired from high-performance…

Q: 1.03 kg block B is moving with a speed of 3.5 m/s as it strikes the 0.56 kg sphere A which was at…

Q: A curved incline is used to give a box a certain velocity as it slides down. The box has a mass of…

Q: A bullet of mass mm is fired into a block of mass MM that is at rest. The block, with the bullet…

Q: A 5.8-kg toboggan is kicked on a frozen pond, such that it acquires a speed of 2.1 m/s to the right.…

Q: A rigid ball of mass m and velocity u undergoes an inelastic collision with another rigid ball of…

A: Given: The mass of the rigid ball is m1=m, The initial velocity of the rigid ball is u1=u, The mass…

Q: Spheres A (mass 0.020 kg), B (mass 0.030 kg), and C (mass 0.050 kg2 are approaching the origin as…

A: This problem is based on conservation of linear momentum . final momentum of the system of bodies (…

Q: A block of mass 20 kg moves along a frictionless surface, and is in a collision course with a sphere…

A: Mass of block M= 20 kg Mass of sphere m= 10kg Coefficient of restitution e=0.800 Length of rope r=…

Q: A 2.5-kg block B is moving with a velocity vo of magnitude vo = 4 m/s as it hits the 0.3-kg sphere…

Q: A metal object of mass m = 45.77 g with sharp edges hits a wooden block of mass M = 425.3 g at rest…

A: Given: mass of metal object m =45.77 g = 0.04577 kg mass of wooden block M = 425.3 g = 0.4253 kg…

Concept explainers

Rigid Body

A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.

Rigid Body Dynamics

Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).

Question

1, A block of mass m and a wedge of mass M in the shape of a quarter cylinder are
free to move on a frictionless horizontal surface. The block moving with speed vo
collides with the stationary wedge and smoothly starts to climb up its cylindrical
frictionless surface.
(a) To what maximum height will the block reach?
(b) It is observed that the velocity of the block after it slides back to the
horizontal surface is - vo/2. Calculate the ratio m/M.
(c) What is the speed of the wedge after the block slides back down?
m
Vo
R
M
16.0

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: Part A

Step 2: Part B

Step 3: Part C

Solution

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 6 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

How much fuel would be needed for a 1000-kg rocket (this is its mass with no fuel) to take off from Earth and reach 1000 m/s in 30 s? The exhaust speed is 1000 m/s.
Repeat the preceding problem for the case when the initial speed of the second object is nonzero.
A curved incline is used to give a box a certain velocity as it slides down. The box has a mass of m1=4.92 kg. Friction is negligable. The box starts from rest at h= 5.00 m above the flat surface at the bottom of the incline. After moving down, it collides with a second box m2=10.5kg, also initially at rest. Teh collision is elastic. Find the maximum height to which m1 rises after the collision
A 2.5-kg block B is moving with a velocity vo of magnitude vo = 4 m/s as it hits the 0.3-kg sphere A, which is at rest and hanging from a cord attached at O. Knowing that coefficient of friction mk = 0.2 between the block and the horizontal surface and the coefficient of restitution e = 0.8 between the block and the sphere, determine after impact (a) the maximum height h reached by the sphere, (b) the distance x traveled by the block. Vo A B
A particle of mass m moves in a straight line wih velocity v(t), subject only to a linear air resistance F = -4mv. Assume the particle starts with velocity u in x = 0. du 1. Using the change of variables = V find the velocity of the particle as a function of its position, x, the initial velocity, u, and its mass, m. 7 dx v(x) = ASP dv dt 2. Calculate the distance travelled by the particle before coming to a stop.
Consider an extremely wide but thin sheet of plastic with −2.4 × 10-6 C/m2that is resting on the surface of the Earth. You take a small 0.14 kg bead with 7.2 × 10-6 Cand released it from rest at a height of 1.6 m above the surface of the Earth. What willbe the magnitude of the bead’s velocity by the time it is 0.2 m from the surface of theEarth?
A 1.21 kg block B is moving with a speed of 2.23 m/s as it strikes the 0.69 kg sphere A which was at rest. If the speed of the block was reduced to 1.21 m/s immediately after impact, compute the height (m) reached by the sphere. Round off only on the final answer expressed in 3 decimal places.
Two small rubber balls are dropped fromrest at a height h above a hard floor. When the balls are released, thelighter ball (with mass m) is directly above the heavier ball (withmass M). Assume the heavier ball reaches the floor first and bounceselastically; thus, when the balls collide, the ball of mass M is movingupward with a speed v and the ball of mass m is moving downwardwith essentially the same speed. In terms of h, find the height towhich the ball of mass m rises after the collision. (Use the resultsgiven in Problem 83, and assume the balls collide at ground level.)
Ahockey puck of mass 322 g is siding due east on a fictionless table with a speed of 150 ms Suddenlys constare force of magnitude 4.03 N and deacted due north is applied to the puck f 2.55s Find the magnitude of the moment | 4pm at the end of the 255-s interval (Express your answer to 2 decimal places, with no unit
You decide to launch a rockof mass m1 using a tube containing a spring of spring constant k. When the spring is at equilibrium, it fills the entire tube. To launch a rock, you push it into the tube, compressing the spring a distance d, at which point a locking mechanism holds the spring(and the rock) in place. When the lockis released, the spring pushes the rock to the end of the tube where it will be launched into the air. The coefficient of kinetic friction between the rock and the inside surface of the tube is given by μk. You setup the launcher at an angle q above the horizontal with the spring end buried such that when the spring is compressed and locked, the rock is at ground level. a)Find the work done on the rock by non-conservative forces as it moves from the point of release to the end of the tube. Express your answer in terms of μk, m1, q, d, and any necessaryconstants. b) Find the velocity of the rockvfas it exits the launch tube in terms of μk, k, m1, q, d, and any…
The coef of friction between the block of mass m1 = 3.0 kg and the surface is 0.400. The system starts from rest. What is the speed of the ball of mass m2 = 5.0 kg when it has fallen a distance of h = 1.50 m.
A ballistic pendulum is a device that historically was used to measure the velocity of bullets. This system consists of a block of wood suspended by cords of negligible mass. When a bullet strikes the block of wood, the bullet burrows into the wood and comes to rest by frictional processes. The block and bullet combination then swing upward to a certain height, where it is momentarily at rest before swinging back down. Given the above, answer the following: If a 30.0g bullet is fired into the 5.0kg block and the combination rise to a height of 6 cm, a) What is the maximum potential energy the block and bullet combination can achieve? b) What is the velocity of the bullet before it strikes the block of wood?