The box slides down the helical ramp such that r = 0.5 m, θ = (0.5t3)rad, and z = (2-0.2t2...
The box slides down the helical ramp such that r = 0.5 m, θ = (0.5t3)rad, and z = (2-0.2t2) m, where t is in seconds. Determine the magnitudes of the velocity and acceleration of the box at the instant θ = 2π rad.
Step-by-Step Solution
Given:
By differentiating
, we have
By differentiating
, we have
By differentiating
, we have
By differentiating
, we have
By differentiating
, we have
When 
we have
At
:
Component of the box’s velocity is expressed as
The magnitude of the box’s velocity is expressed as
The magnitude of the box’s velocity is
Components of acceleration of the box is expressed as
Accordingly, we have
Accordingly, we have
Magnitude of the acceleration of the box is expressed as
By substituting the values of the parameters into the above relation, we have
Magnitude of the acceleration of the box is
Most questions answered within 3 hours.
-
Calculating the space time for parallel reactions. m-Xylene is reacted over a ZSM-5 zeolit...
-
Determine Vo and ID for the networks of Fig. 2.160.FIG. 2.160
-
The truck travels along a circular road that has a radius of 50 m at a speed of 4 m/s. F...
-
A state legislature enacted a statute that required any motorcycle operator or passenger...
-
A 1024 × 1024 8-bit image with 5.3 bits/pixel entropy [computed from its histogram using E...
-
In Problem 3.3, we estimated the equationwhere we now report standard errors along with th...
-
In each of the following cases, deduce the nature of the light that is consistent with the...
-
Solve Example 20.5 such that the x, y, z axes move with curvilinear translation, Ω = 0 in...
-
In Fig. 6.43, if i = cos 4t and v = sin 4t, the element is:(a)a resistor(b) a capacitor(c)...
-
Sketch vo for each network of Fig. 2.181 for the input shown.FIG. 2.181
-
(Supplement B) Computing and Reporting Cash Flow Effectsof Sale of Plant and EquipmentDuri...
-
A 350-mL spherical flask contains 0.075 mol of an ideal gas at a temperature of 293 K. Wha...