between the pulley and its axle is negligible. (a) In unit-vector notation, what is the acceleration of the center of mass of the cart-block system? (b) What is the velocity of the com as a function of time t, in unit-vector notation?

Q: A system consists of the following masses loacted in the xy- plane: 6.0 kg at the point (0,5), 7.0…

A: (given)       Mass (m1) at the point (0,5) = 6 kg     Mass (m2) at the point (3,8) = 7 kg  Mass (m3)…

Q: Calculate the force and moment reactions at the bolted base of the overhead traffice-signal…

A: Given Mass mA   = 25 kg Mass mB   = 25 kg Mass mOC = 62 kg Mass mAC = 50 kg Ox               = 0 kN…

Q: Find the center of mass of a thin plate covering the region between the x-axis and the curve y =…

A:

Q: Find the center of mass of the regular ∟-shaped iron bar with sides 0.40 m and 0.70 m, respectively.…

A: Given that, Length in x axis is 0.40m Length in y axis is 0.70m In this symmetrical region we have…

Q: Suppose the two carts have equalmasses and are both moving to the right before the collision.…

A:

Q: Calculate th avarage forca in ) on the person he is stopped by a padded dashboard that comprasses an…

A: The average force is the force exerted by some object moving at some defined rate of speed i.e.…

Q: A set of fossilized triceratops footprints discovered inTexas show that the front and rear feet were…

A:

Q: A light plane of mass 1200 kg makes an emergency landing on a short runway. With its engine off, it…

A: Given that, Mass of plane =1200 kg Speed = 35 m/s Mass of sandbag = 130 kg Coefficient of friction =…

Q: (1) What is the location of the center of mass of the system when the origin of our coordinate…

A: Given     Length of boat =L= 2.5M     Mass of boat   =170kg =M1    Mass of man  = 67 kg = M2

Q: A two-wheel motorbike and the driver have a mixed mass of 250 kg. While the rear tire is spinning…

A: Given A two-wheel motorbike and the driver have a mixed mass of 250 kg. While the rear tire is…

Q: Consider a rod of length L. The mass per unit length of the rod, p, varies as p = Pos/L, where po is…

A:

Q: Calculate the location of the center of mass of a thin uniform meter stick of mass 70.0 g, on which…

A:

Q: la) A block of mass 3.00 kg is moving in the positive x direction, across a rough surface (UK=0.11)…

A:

Q: Consider the two-dimensional case of a uniform right triangular sheet of mass m, height h and base…

A:

Q: (a) Calculate the magnitude (in N) and direction of the force (in degrees counterciockwise from the…

A:

Q: Find the center of mass of a thin wire of mass m and length L bent in a semicircular shape. Let the…

A:

Q: Consider the system shown in Fig.. The rope and pulley have negligible mass, and the pulley is…

A: Given Mass of one block = 8.00 kg Mass of another block = 6.00 kg Initial speed of both blocks =…

Q: A rocket in space consumes fuel and oxidzer at the rate of 2.10 x 10 kgs with an eshaust speed of…

A:

Q: A 1300 kg car is rolling along a horizontal road and is beginning to tow a 1100 kg car. The instant…

A: The given data are: m1=1300 kgm2=1100 kgu1=1.7 m/su2=0 m/s Here, u1 denotes the initial velocity of…

Q: Consider a bullet of mass 200 g traveling horizontally towards the east with a speed of 400 m/s. It…

A:

Q: A long piece of wood of length h and mass M is held vertically with its end bottom resting on a…

A: Given: Length of the wood = h Mass of the wood = M

Q: The center of mass G of a high jumper follows the trajectory shown. Determine the component vo,…

A:

Q: [Problem 1] Find the displacements (During the period person is walking) (1) the platform, (2) the…

A:

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

A: a) The stones are in free fall,…

Q: Spectators watch a bicycle stunt rider travel off the end of a 57.5° ramp, rise to the top of her…

A: Given data: The inclination of the ramp is θ=57.5o. The time taken by the rider to reach the ground…

Q: The driver of a three-wheeler moving with a speed of 36 km/h sees a child standing in the middle of…

A:

Q: A system consists of the following masses loacted in the xy- plane: 4.5 kg at the point (0,5), 7.5…

A:

Q: Two blocks traveling on a horizontal frictionless table have a head-on elastic collision, Block #1…

A:

Q: F m m Two identical blocks of mass m are connected with a massless spring and placed on a horizontal…

A:

Q: A rod of length 2.85 meters is hanging from the ceiling using two strings at each end. The rod is…

A: Given data: The length of rod is L=2.85 m. The relation in tension is T1=2.14T2.

Q: The figure shows an overhead view of three identical particles on which external forces act. The…

A: (a) The magnitude and direction of the force on the third particle if the center of mass of three…

Q: A body of weight 640 N body is at rest. Another body of weight 310 N moving to the left with a…

A: (a) Given: The weight of the first object is 640 N. The initial speed is 0 m/s. The weight of the…

Q: hree forces of differ ank, making it acce

A:

Q: A light plane of mass 1200 kg makes an emergency landing on a short runway. With its engine off, it…

A: Given, mass of plane, M=1200 kg initial velocity on runway u0 = 35 m/s mass sandbag, m=130 kg μk=0.4…

Q: A system consists of the following masses loacted in the xy- plane: 4.0 kg at the point (0,5), 8.5…

A: X=m1x1+m2x2+m3x3m1+m2+m3=4.0 kg0 m+8.5 kg3 m+7.0 kg-3 m4.0 kg+8.5 kg+7.0 kg=0.231 m

Q: A uniform square of mass 4 kg and sides 2 m and negligible thickness is centered at the origin.…

A: Centre of mass of a body or system of a particle is defined as, a point at which the whole of the…

Q: 1. The positon vector r of a particle of mass 2 kg at time t seconds is given by r- [(2 sin 2t) i +…

A: Given:Radius, r =2 sin 2ti^ + 1- cos 2tj^ mmass, m = 2 kgSolution:A. i) The velocity function is…

Q: A uniformly loaded rectangular crate is released from rest in the position shown. Assuming that the…

A: We first find the initial momentum of the system. We then find the final momentum. The change in…

Q: The center of mass G of a high jumper follows the trajectory shown. Determine the component vo,…

A:

Q: 150 30 05 r(t) 180 r(x) 210 330 240 300

A: The position coordinates are,  r(t)=1.2-0.6 sin 2πt mθ(t)=0.5-1.5 cos 2πt radmass of the piece,…

Newton's Second Law

Newton’s laws of motion describe the relationship between the motion of an object and forces acting on it. Newton’s law of motion has two types as follows: