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: Describe a system in which the main forces acting are parallel or antiparallel to the center of…

A: To determine: The system in which the main forces are acting parallel and antiparallel to the center…

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

A:

Q: a truck with a mass of 2741 kg coasts slowly (v= 4.0 m/s) under a cabbage dispensing machine, which…

A:

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

A: The dissipative forces are the normal forces. They only use the enrgy from the system but does not…

Q: Two forces, F, - (6,51 - 5,5) N and F,- (3.301 - 3.5)N. Act on a particle of mass 1.80 kg that is…

A: Given data:initial velocity u=0m/sF→1=(6.55i-5.75j)NF→2=(3.30i-3.55j)Ninitial position…

Q: Monkey D. Luffy is sailing together with his crew, the “Straw Hat Pirates” in the West Philippine…

A: According to the Newton's second law  Net force = mass x acceleration

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: Your friend’s car has broken down, so you volunteer to push it with your own car to the nearest…

A: There is multiple sub parts i will solve the first part

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: the x-y coordinate system shown, loca plate.

A: Given: To find the locate the mass of the plate and the center of mass of the system is given as,

Q: Two hockey pucks moving with initial velocities vĄ and vg collide as shown. The mass of A is 1.4 kg…

A: Given, mA=1.4 kgmB=3.5 kgvA=12.5 m/svB=6.0 m/scoefficient of restitution e=0.49θ=21°

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: Michael Jordan won the 1987 NBA Slam Dunk Contest. While doing a slam dunk in the local motion…

A:

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: The driver of a three wheeler with a speed of 36km/h sees a child in the middle of the road and…

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: A thin disk of initial mass M and radius R has a hole of radius r removed. The center of the hole is…

A: (a)COM will shift up sidebecause of hollow part(b)surface mass densityσ=MπR2Assume the removed…

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: