Q) A Bug Crawls Towards The Rim With A Constant Speed Vo Along The Spoke Of A Wheel That Is Rotating With Constant Angular Velocity W About A Vertical Axis. Find All Apparent Forces Acting On The Bug. And How Far The Bug Can Crawl Before It Starts To Slip, Given That Coefficient Of Static Friction Between The Bug And The Spoke Is Us. Ans) Apparent Forces Acting on the Bug: There are three apparent forces acting on the bug: Centrifugal Force (Fc) : This outward force arises due to the bug's circular motion along the rotating wheel. Magnitude: Fc = mv^2/r, where m is the bug's mass, v is its instantaneous velocity relative to the rim (sum of crawling speed and tangential velocity due to wheel rotation), and r is the distance from the bug to the wheel's axis. Direction: Radially outward, away from the wheel's axis. Normal Force (Fn): This is the force exerted by the spoke on the bug perpendicular to its motion. Magnitude: Fn = N, where N is the reaction force due to t...
![If x and y are vectors in Rn then prove that - x.y = x.y. Also verify it for the vectors x=[1,-2,0,2,3] and y=[0,-3,2,-1,-1]](https://blogger.googleusercontent.com/img/a/AVvXsEiZFP6YAwrExzJ31wDWXNajBW7b5e-G20D98vRhoATVQYlOAMHleivLiBQtW63-OnrbPr1Ljus4Hq_T_xF9dhzm_SmrC5Sr5AsV0wkoIVRyLzEdvYPGPlGVbC1ioPA2GHvmtcZgV1d77AdH1X2SCg_gRpTRn2qgvSrhBwSu869X1aH5GSeU55Xqk9_5pdMf=w640-h612-rw "If x and y are vectors in Rn then prove that - x.y = x.y. Also verify it for the vectors x=[1,-2,0,2,3] and y=[0,-3,2,-1,-1]")
![If x and y are vectors in Rn then prove that - x.y = x.y. Also verify it for the vectors x=[1,-2,0,2,3] and y=[0,-3,2,-1,-1]](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiwnXHrSZDDzFpmC07xbEk69sgj7EEws6j9d8tr_fRC_Z7R8u-O5HxuGCPmUh-MKjgt3vE_S2bbhj7u1Tt9cPl66vmGPbSa8BTJ6a89TANduu8o9UZrtjkKOtT-fPX7azF2InNHEh_okmVDb0YvPxCoI_00lTLLXi9X06d1b7WR2d1AAjLlwTKRe0BtY4Fk/s1600/If%20x%20and%20y%20are%20vectors%20in%20Rn%20then%20prove%20that%20-%20x.y%20=%20x.y.%20Also%20verify%20it%20for%20the%20vectors%20x=%5B1,-2,0,2,3%5D%20and%20y=%5B0,-3,2,-1,-1%5D.jpeg "If x and y are vectors in Rn then prove that - x.y = x.y. Also verify it for the vectors x=[1,-2,0,2,3] and y=[0,-3,2,-1,-1]")
![If x and y are vectors in Rn then prove that - x.y = x.y. Also verify it for the vectors x=[1,-2,0,2,3] and y=[0,-3,2,-1,-1]](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEij_DDIJcVTMT8iTAUAOAmQMtykvE7pyQNLuRjvah70YGFajC3I5qfDfR5-RUf8hsyeFdeUx49XIrjjQIXDrOAa-x8abADgiBE5QepNa4H3PyEzXBtDnrxCs0PTCZg4z5btuFYQg4MnLfG4t0WvnWDiO6ctrtvhA3UgrVRqM7OAQzHs0siWZ-F9AMReMeCb/s1600/If%20x%20and%20y%20are%20vectors%20in%20Rn%20then%20prove%20that%20-%20x.y%20=%20x.y.%20Also%20verify%20it%20for%20the%20vectors%20x=%5B1,-2,0,2,3%5D%20and%20y=%5B0,-3,2,-1,-1%5D%20(2).jpeg "If x and y are vectors in Rn then prove that - x.y = x.y. Also verify it for the vectors x=[1,-2,0,2,3] and y=[0,-3,2,-1,-1]")
Comments
Post a Comment