1- a worker with spikes on his shoes pulls with a constant horizontal force of magnitude 20 N on a box of mass 40 kg resting on the flat, frictionless surface of a frozen lake. What is the acceleration of the box ? 2- If we take east as x – axis and north as y – axis, then displacement = 20 ^i +10°j. Find the magnitude of displacement. %3D
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- During a race, a man's sports far develops 250 hp at 4000 rpm. What is the amount of torque exerted on the crankshaft? a. 350.80 ft-lb b.328.25 ft-lb c.332.12 ft-lbd. 342.78 ft-lb When an object is in translational equilibrium, which of these statements is not true?a.The object has a constant velocity. b. The vector sum of the forces acting on the object is zero.c. The speed of the object is constant.d. The object must be stationary. "Observed from an internal reference frame, the net on a particle is proportional to the time rate of change of its linear momentum". This is known as Newton's ________ of motion. a.Second law b.Third lawc. First law d.Zeroth lawA positively charged ball falls vertically along the lines of a uniform electric field. The weight of the ball is larger than the electric force. The air drag force, exerted on the ball, is directly proportional to its speed. The mass and charge of the ball are equal to 0.48 kg and 0.29 C. The magnitude of the electic field is 4.9 V/m. Determine the ratio v1/v2, where v1 and v2 are the speeds of steady (i.e., constant speed) motion when the electric field vector is oriented upwards and downwards, respectively.Two generators rated at 2 pole,50 Hz 80 Mw 0.8 pf lag with moment of inertia40000 kg-m2 and 50 Hz, 100 Mw 0.8 pf lag with moment of inertia 10,000kgm2 are connected by a transmission line. Find the inertia constant of eachmachine and the inertia constant of single equivalent machine connected toinfinite bus. Take 100 MVA base.
- A 0.16 kg block on a horizontal frictionless surface is attached to a spring whose force constant is 360 N/m. The block is pulled from its equilibrium position at x = 0 m to a displacement x = 0.080 m and is released from rest. The block then executes simple harmonic motion along the x-axis (horizontal). When the displacement is x = 0.037 m, what is the acceleration of the block?An electric motor, developing a starting torque of 15 Nm, starts with a load torque of 7 Nm on its shaft. If the acceleration at start is 2 rad/sec2 , the moment of inertia of the systems must be (neglecting viscous and coulomb friction) A) 0.25 kg m2 B) 0.25 Nm2 C) 4 kg m2 D) 4 Nm2An inclined plane of angle θhas a spring of force constant k fastened securely at the bottom so that the spring is parallel to the surface as shown. A block of mass m is placed on the plane at a distance d from the spring. From this position, the block is projected downward toward the spring with speed v. Calculate By what distance is the spring compressed when the block momentarily comes to rest? develop an equation for x. x when θ=30.0° , k = 1 kN/m, m = 5 kg, d = 0.5 m, and v =1 m/s. If we add another spring in series, by what distance is the spring compressed when the block momentarily comes to rest? If we add another spring in parallel, by what distance is the spring compressed when the block momentarily comes to rest?
- Describe, with the aid of sketches, the effect on acurrent-carrying conductor lying in and at right anglesto a magnetic field.Exercises 46 continuedThe coil of a moving-coil instrument is woundwith 40 turns. The mean width of the coil is 4 cmand the axial length of the magnetic field is 5 cm. If theflux density in the gap is 0.1 T, calculate the torque inN m when the coil is carrying a current of 10 mA. The reason that curves on roads are often banked is becausea) the coefficient of static friction is increasedb) the Coriolis force.c) centripetal acceleration.d) the gravitational force acting on the car isreducedPlease show your complete solution. Thank you so much! Question: The body on the 30-degree incline is acted upon by a force P inclined at 20 degrees with the horizontal. If P is resolved into components parallel and perpendicular to the incline and the value of the parallel component is 300 N, compute the value of the perpendicular component and of P.
- The following data are given for a wind turbine: Blade length, l = 45 m Wind speed, U = 12 m/sec Air density, r = 1.25 kg/m3 Find the following: a) Total wind power in MW that can be extracted b) Maximum wind turbine power in MW that can be generated c) Actual wind turbine power in MW if the power coefficient is 0.38 d) Blade tip speed in m/s if the rotational speed is 7 rpm e) Tip speed ratioQ1 (10 uC), Q2 (20 uC) ve Q3 (-10 uC) loads to P1 (4, 3, 5), P2 (4, 3, 0) and P3 (8, 6, -1) respectively.has been placed. Accordingly, the electric field generated at the point P (8, 6, 4) is the electric field andCalculate the force acting on the load Q4 (10 uC) to be placed.In the system shown in the figure below, the disk of inertia J and radius r is constrained tomove only about the stationary axis A. A viscous damping force of translational value fvexists between bodies J & M. If an external force f(t) is applied to the mass, find thetransfer function G(s) = Θ(s)/F(s)