The point moves with the speed v (t) = Аt (2i + 3j + 4k), where А = 1 m / s2. Find: 1) the dependence of the point velocity modulus on time v (t); 2) the path traveled by the point in the 3rd second of movement; 3) the dependence of the radius vector on time r (t); 4) moving the point in the 3rd second of movement

A simple pendulum has a mass of 0.450 kg and a length of 5.00 m. It is displaced through an angle of 13.0° and then released. Using the analysis model of a particle in simple harmonic motion, calculate the following. (Give your answer to the thousandths place.) (b) What is the maximum angular acceleration of the bob?

You have made a physical pendulum by swinging a rod of mass M = 1.08 kg and length L = 1.45 meters around its end. The mass of the rod is distributed uniformly along its length. We will assume that the amplitude of the swing is max = 19.34 degrees. Solid Rod Swings in Simple Harmonic Motion ^ 0=-0, max 0=+0₁ max Determine all the following: The FORMULA for the moment of inertia of your rod, I = The distance from the pivot point to the Center-Of-Mass, d = The angular frequency of the pendulum, w = The amplitude of the motion in radians, max = radians The angular velocity when 0 = 64% of full swing, w(0 = 0.64 0max): NOTE: The first question requires a FORMULA, not a value. rad/sec = meters rad/sec

An object hanging from a vertical spring oscillates with a period of 0.35 s. Suppose the same object and spring are placed on a horizontal frictionless surface and the object is in a horizontal circle swung (uniform circular motion) with the open end of the spring as the pivot. How many rotations per minute is needed to stretch the spring by 15%?

This was rejected the first time. Can you please state why this is being rejected?

Help me for part (A) only,To find the torsional constant expression.

The suspension system of a 2200 kg car is made of springs that are compresses by 8 cm when the mass of the car is placed on it. Also, the collision amplitude decreases by 50% each cycle. Find the damping constant 6 (in units of kg/s) for the spring and shock absorber system of one wheel, assuming each wheel supports 550 kg. 134

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The torsional spring of constant kt = 58 N-m/rad is undeformed when 0 = 0. Determine the value(s) of 0 over the range 0 ≤ 0 ≤ 180° for which equilibrium exists. Use the values mA = 12 kg, mB = 1 kg, moA = 7 kg, and r = 0.9 m. Assume that OA is a uniform slender rod with a particle A (negligible size) at its end, and neglect the effects of the small ideal rollers. You should find two answers, 0₁ <0₂. mB B Answers: KTI i o( 0₁ = 0₂= i 151.5 34.5 A MOA MA

MärkxsfH) Problem 1: A mass of 20 grams stretches a spring by 10/169 meters. (a) Find the spring constant k, the angular frequency w, as well as the period T and frequency f of free undamped motion for this spring-mass system. (b) Find the general solution x(t) of the DE for the free spring-mass system. (c) Suppose that an exterior force of F(t) = 2.5 sin(12t) in Newtons acts on the spring-mass system. Find the equation of motion (the solution x(t)) of the system if the mass initially is at rest in its equilibrium position.